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Finding the Fourth Proportional to 12,589.43, 18,885.96 and 5,569.16

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Solution

The fourth proportional to 12,589.43, 18,885.96 and 5,569.16 is: 8,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.43 : 18,885.96 = 5,569.16 : x
  2. Step 2: Convert to fraction form
    12,589.43/18,885.96 = 5,569.16/x
  3. Step 3: Cross multiply
    12,589.43x = 18,885.96 × 5,569.16
  4. Step 4: Simplify right side
    12,589.43x = 105,178,838.56
  5. Step 5: Solve for x
    x = 105,178,838.56/12,589.43
  6. Step 6: Final answer
    x = 8,354.54

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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.