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Finding the Fourth Proportional to 1,388.41, 1,911.13 and 1,257.19

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Solution

The fourth proportional to 1,388.41, 1,911.13 and 1,257.19 is: 1,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.41 : 1,911.13 = 1,257.19 : x
  2. Step 2: Convert to fraction form
    1,388.41/1,911.13 = 1,257.19/x
  3. Step 3: Cross multiply
    1,388.41x = 1,911.13 × 1,257.19
  4. Step 4: Simplify right side
    1,388.41x = 2,402,653.52
  5. Step 5: Solve for x
    x = 2,402,653.52/1,388.41
  6. Step 6: Final answer
    x = 1,730.51

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Half scale
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Double scale
Find fourth proportional to 1,389.41, 1,912.51 and 1,258.19
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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.