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Finding the Fourth Proportional to 7,842.51, 10,822.62 and 4,257.54

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Solution

The fourth proportional to 7,842.51, 10,822.62 and 4,257.54 is: 5,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.51 : 10,822.62 = 4,257.54 : x
  2. Step 2: Convert to fraction form
    7,842.51/10,822.62 = 4,257.54/x
  3. Step 3: Cross multiply
    7,842.51x = 10,822.62 × 4,257.54
  4. Step 4: Simplify right side
    7,842.51x = 46,077,737.55
  5. Step 5: Solve for x
    x = 46,077,737.55/7,842.51
  6. Step 6: Final answer
    x = 5,875.38

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Half scale
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Double scale
Find fourth proportional to 7,843.51, 10,824 and 4,258.54
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.