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Finding the Fourth Proportional to 7,842.78, 10,822.79 and 4,257.59

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Solution

The fourth proportional to 7,842.78, 10,822.79 and 4,257.59 is: 5,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.78 : 10,822.79 = 4,257.59 : x
  2. Step 2: Convert to fraction form
    7,842.78/10,822.79 = 4,257.59/x
  3. Step 3: Cross multiply
    7,842.78x = 10,822.79 × 4,257.59
  4. Step 4: Simplify right side
    7,842.78x = 46,078,959.01
  5. Step 5: Solve for x
    x = 46,078,959.01/7,842.78
  6. Step 6: Final answer
    x = 5,875.33

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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.