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Finding the Fourth Proportional to 9,586.52, 14,381.84 and 5,428.50

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Solution

The fourth proportional to 9,586.52, 14,381.84 and 5,428.50 is: 8,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.52 : 14,381.84 = 5,428.50 : x
  2. Step 2: Convert to fraction form
    9,586.52/14,381.84 = 5,428.50/x
  3. Step 3: Cross multiply
    9,586.52x = 14,381.84 × 5,428.50
  4. Step 4: Simplify right side
    9,586.52x = 78,071,818.44
  5. Step 5: Solve for x
    x = 78,071,818.44/9,586.52
  6. Step 6: Final answer
    x = 8,143.92

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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.