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Finding the Fourth Proportional to 10,368.43, 15,529.84 and 8,569.08

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Solution

The fourth proportional to 10,368.43, 15,529.84 and 8,569.08 is: 12,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.43 : 15,529.84 = 8,569.08 : x
  2. Step 2: Convert to fraction form
    10,368.43/15,529.84 = 8,569.08/x
  3. Step 3: Cross multiply
    10,368.43x = 15,529.84 × 8,569.08
  4. Step 4: Simplify right side
    10,368.43x = 133,076,419.92
  5. Step 5: Solve for x
    x = 133,076,419.92/10,368.43
  6. Step 6: Final answer
    x = 12,834.77

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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.