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Finding the Fourth Proportional to 5,356.72, 8,035.46 and 1,658.47

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Solution

The fourth proportional to 5,356.72, 8,035.46 and 1,658.47 is: 2,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.72 : 8,035.46 = 1,658.47 : x
  2. Step 2: Convert to fraction form
    5,356.72/8,035.46 = 1,658.47/x
  3. Step 3: Cross multiply
    5,356.72x = 8,035.46 × 1,658.47
  4. Step 4: Simplify right side
    5,356.72x = 13,326,561.05
  5. Step 5: Solve for x
    x = 13,326,561.05/5,356.72
  6. Step 6: Final answer
    x = 2,487.82

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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.