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Finding the Fourth Proportional to 15,864.95, 21,893.02 and 9,151.78

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Solution

The fourth proportional to 15,864.95, 21,893.02 and 9,151.78 is: 12,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.95 : 21,893.02 = 9,151.78 : x
  2. Step 2: Convert to fraction form
    15,864.95/21,893.02 = 9,151.78/x
  3. Step 3: Cross multiply
    15,864.95x = 21,893.02 × 9,151.78
  4. Step 4: Simplify right side
    15,864.95x = 200,359,993.11
  5. Step 5: Solve for x
    x = 200,359,993.11/15,864.95
  6. Step 6: Final answer
    x = 12,629.10

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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.