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Finding the Fourth Proportional to 5,307.68, 7,962.80 and 1,609.70

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Solution

The fourth proportional to 5,307.68, 7,962.80 and 1,609.70 is: 2,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.68 : 7,962.80 = 1,609.70 : x
  2. Step 2: Convert to fraction form
    5,307.68/7,962.80 = 1,609.70/x
  3. Step 3: Cross multiply
    5,307.68x = 7,962.80 × 1,609.70
  4. Step 4: Simplify right side
    5,307.68x = 12,817,719.16
  5. Step 5: Solve for x
    x = 12,817,719.16/5,307.68
  6. Step 6: Final answer
    x = 2,414.94

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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.