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Finding the Fourth Proportional to 9,714.70, 14,576.10 and 3,142.90

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Solution

The fourth proportional to 9,714.70, 14,576.10 and 3,142.90 is: 4,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.70 : 14,576.10 = 3,142.90 : x
  2. Step 2: Convert to fraction form
    9,714.70/14,576.10 = 3,142.90/x
  3. Step 3: Cross multiply
    9,714.70x = 14,576.10 × 3,142.90
  4. Step 4: Simplify right side
    9,714.70x = 45,811,224.69
  5. Step 5: Solve for x
    x = 45,811,224.69/9,714.70
  6. Step 6: Final answer
    x = 4,715.66

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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.