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Finding the Fourth Proportional to 9,665.66, 14,500.50 and 3,742.40

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Solution

The fourth proportional to 9,665.66, 14,500.50 and 3,742.40 is: 5,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.66 : 14,500.50 = 3,742.40 : x
  2. Step 2: Convert to fraction form
    9,665.66/14,500.50 = 3,742.40/x
  3. Step 3: Cross multiply
    9,665.66x = 14,500.50 × 3,742.40
  4. Step 4: Simplify right side
    9,665.66x = 54,266,671.20
  5. Step 5: Solve for x
    x = 54,266,671.20/9,665.66
  6. Step 6: Final answer
    x = 5,614.38

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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.