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Finding the Fourth Proportional to 15,862.60, 21,932.16 and 13,894.30

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Solution

The fourth proportional to 15,862.60, 21,932.16 and 13,894.30 is: 19,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.60 : 21,932.16 = 13,894.30 : x
  2. Step 2: Convert to fraction form
    15,862.60/21,932.16 = 13,894.30/x
  3. Step 3: Cross multiply
    15,862.60x = 21,932.16 × 13,894.30
  4. Step 4: Simplify right side
    15,862.60x = 304,732,010.69
  5. Step 5: Solve for x
    x = 304,732,010.69/15,862.60
  6. Step 6: Final answer
    x = 19,210.72

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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.