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Finding the Fourth Proportional to 6,458.16, 9,672.28 and 5,510.80

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Solution

The fourth proportional to 6,458.16, 9,672.28 and 5,510.80 is: 8,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.16 : 9,672.28 = 5,510.80 : x
  2. Step 2: Convert to fraction form
    6,458.16/9,672.28 = 5,510.80/x
  3. Step 3: Cross multiply
    6,458.16x = 9,672.28 × 5,510.80
  4. Step 4: Simplify right side
    6,458.16x = 53,302,000.62
  5. Step 5: Solve for x
    x = 53,302,000.62/6,458.16
  6. Step 6: Final answer
    x = 8,253.43

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1.5x scale

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.