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Finding the Fourth Proportional to 10,389.73, 14,337.87 and 5,674

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Solution

The fourth proportional to 10,389.73, 14,337.87 and 5,674 is: 7,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.73 : 14,337.87 = 5,674 : x
  2. Step 2: Convert to fraction form
    10,389.73/14,337.87 = 5,674/x
  3. Step 3: Cross multiply
    10,389.73x = 14,337.87 × 5,674
  4. Step 4: Simplify right side
    10,389.73x = 81,353,074.38
  5. Step 5: Solve for x
    x = 81,353,074.38/10,389.73
  6. Step 6: Final answer
    x = 7,830.14

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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.