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Finding the Fourth Proportional to 13,280, 19,920 and 4,959.68

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Solution

The fourth proportional to 13,280, 19,920 and 4,959.68 is: 7,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280 : 19,920 = 4,959.68 : x
  2. Step 2: Convert to fraction form
    13,280/19,920 = 4,959.68/x
  3. Step 3: Cross multiply
    13,280x = 19,920 × 4,959.68
  4. Step 4: Simplify right side
    13,280x = 98,796,825.60
  5. Step 5: Solve for x
    x = 98,796,825.60/13,280
  6. Step 6: Final answer
    x = 7,439.52

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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.