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Finding the Fourth Proportional to 15,687.16, 21,646.94 and 8,971.71

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Solution

The fourth proportional to 15,687.16, 21,646.94 and 8,971.71 is: 12,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.16 : 21,646.94 = 8,971.71 : x
  2. Step 2: Convert to fraction form
    15,687.16/21,646.94 = 8,971.71/x
  3. Step 3: Cross multiply
    15,687.16x = 21,646.94 × 8,971.71
  4. Step 4: Simplify right side
    15,687.16x = 194,209,942.03
  5. Step 5: Solve for x
    x = 194,209,942.03/15,687.16
  6. Step 6: Final answer
    x = 12,380.19

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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.