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Finding the Fourth Proportional to 3,280.64, 4,920.24 and 972.08

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Solution

The fourth proportional to 3,280.64, 4,920.24 and 972.08 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.64 : 4,920.24 = 972.08 : x
  2. Step 2: Convert to fraction form
    3,280.64/4,920.24 = 972.08/x
  3. Step 3: Cross multiply
    3,280.64x = 4,920.24 × 972.08
  4. Step 4: Simplify right side
    3,280.64x = 4,782,866.90
  5. Step 5: Solve for x
    x = 4,782,866.90/3,280.64
  6. Step 6: Final answer
    x = 1,457.91

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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.