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Finding the Fourth Proportional to 6,473.80, 9,666.78 and 5,142.57

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Solution

The fourth proportional to 6,473.80, 9,666.78 and 5,142.57 is: 7,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.80 : 9,666.78 = 5,142.57 : x
  2. Step 2: Convert to fraction form
    6,473.80/9,666.78 = 5,142.57/x
  3. Step 3: Cross multiply
    6,473.80x = 9,666.78 × 5,142.57
  4. Step 4: Simplify right side
    6,473.80x = 49,712,092.82
  5. Step 5: Solve for x
    x = 49,712,092.82/6,473.80
  6. Step 6: Final answer
    x = 7,678.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.