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Finding the Fourth Proportional to 7,006.40, 9,666.08 and 6,122.24

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Solution

The fourth proportional to 7,006.40, 9,666.08 and 6,122.24 is: 8,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.40 : 9,666.08 = 6,122.24 : x
  2. Step 2: Convert to fraction form
    7,006.40/9,666.08 = 6,122.24/x
  3. Step 3: Cross multiply
    7,006.40x = 9,666.08 × 6,122.24
  4. Step 4: Simplify right side
    7,006.40x = 59,178,061.62
  5. Step 5: Solve for x
    x = 59,178,061.62/7,006.40
  6. Step 6: Final answer
    x = 8,446.29

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1.5x scale

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.