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Finding the Fourth Proportional to 6,658.52, 9,122.16 and 6,409.28

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Solution

The fourth proportional to 6,658.52, 9,122.16 and 6,409.28 is: 8,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.52 : 9,122.16 = 6,409.28 : x
  2. Step 2: Convert to fraction form
    6,658.52/9,122.16 = 6,409.28/x
  3. Step 3: Cross multiply
    6,658.52x = 9,122.16 × 6,409.28
  4. Step 4: Simplify right side
    6,658.52x = 58,466,477.64
  5. Step 5: Solve for x
    x = 58,466,477.64/6,658.52
  6. Step 6: Final answer
    x = 8,780.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.