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Finding the Fourth Proportional to 9,289.70, 13,902 and 6,660.10

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Solution

The fourth proportional to 9,289.70, 13,902 and 6,660.10 is: 9,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.70 : 13,902 = 6,660.10 : x
  2. Step 2: Convert to fraction form
    9,289.70/13,902 = 6,660.10/x
  3. Step 3: Cross multiply
    9,289.70x = 13,902 × 6,660.10
  4. Step 4: Simplify right side
    9,289.70x = 92,588,710.20
  5. Step 5: Solve for x
    x = 92,588,710.20/9,289.70
  6. Step 6: Final answer
    x = 9,966.81

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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.