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Finding the Fourth Proportional to 21,597, 32,382.74 and 8,434.10

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Solution

The fourth proportional to 21,597, 32,382.74 and 8,434.10 is: 12,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597 : 32,382.74 = 8,434.10 : x
  2. Step 2: Convert to fraction form
    21,597/32,382.74 = 8,434.10/x
  3. Step 3: Cross multiply
    21,597x = 32,382.74 × 8,434.10
  4. Step 4: Simplify right side
    21,597x = 273,119,267.43
  5. Step 5: Solve for x
    x = 273,119,267.43/21,597
  6. Step 6: Final answer
    x = 12,646.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.