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Finding the Fourth Proportional to 21,187.71, 29,244.71 and 13,225.14

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Solution

The fourth proportional to 21,187.71, 29,244.71 and 13,225.14 is: 18,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.71 : 29,244.71 = 13,225.14 : x
  2. Step 2: Convert to fraction form
    21,187.71/29,244.71 = 13,225.14/x
  3. Step 3: Cross multiply
    21,187.71x = 29,244.71 × 13,225.14
  4. Step 4: Simplify right side
    21,187.71x = 386,765,417.07
  5. Step 5: Solve for x
    x = 386,765,417.07/21,187.71
  6. Step 6: Final answer
    x = 18,254.23

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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.