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Finding the Fourth Proportional to 3,287.68, 4,931.12 and 979.36

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Solution

The fourth proportional to 3,287.68, 4,931.12 and 979.36 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.68 : 4,931.12 = 979.36 : x
  2. Step 2: Convert to fraction form
    3,287.68/4,931.12 = 979.36/x
  3. Step 3: Cross multiply
    3,287.68x = 4,931.12 × 979.36
  4. Step 4: Simplify right side
    3,287.68x = 4,829,341.68
  5. Step 5: Solve for x
    x = 4,829,341.68/3,287.68
  6. Step 6: Final answer
    x = 1,468.92

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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.