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Finding the Fourth Proportional to 15,862.15, 21,899.86 and 9,902.58

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Solution

The fourth proportional to 15,862.15, 21,899.86 and 9,902.58 is: 13,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.15 : 21,899.86 = 9,902.58 : x
  2. Step 2: Convert to fraction form
    15,862.15/21,899.86 = 9,902.58/x
  3. Step 3: Cross multiply
    15,862.15x = 21,899.86 × 9,902.58
  4. Step 4: Simplify right side
    15,862.15x = 216,865,008.76
  5. Step 5: Solve for x
    x = 216,865,008.76/15,862.15
  6. Step 6: Final answer
    x = 13,671.85

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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.