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Finding the Fourth Proportional to 5,132.61, 7,700.22 and 1,434.85

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Solution

The fourth proportional to 5,132.61, 7,700.22 and 1,434.85 is: 2,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.61 : 7,700.22 = 1,434.85 : x
  2. Step 2: Convert to fraction form
    5,132.61/7,700.22 = 1,434.85/x
  3. Step 3: Cross multiply
    5,132.61x = 7,700.22 × 1,434.85
  4. Step 4: Simplify right side
    5,132.61x = 11,048,641.42
  5. Step 5: Solve for x
    x = 11,048,641.42/5,132.61
  6. Step 6: Final answer
    x = 2,152.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.