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Finding the Fourth Proportional to 12,516, 17,280 and 7,807.20

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Solution

The fourth proportional to 12,516, 17,280 and 7,807.20 is: 10,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516 : 17,280 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    12,516/17,280 = 7,807.20/x
  3. Step 3: Cross multiply
    12,516x = 17,280 × 7,807.20
  4. Step 4: Simplify right side
    12,516x = 134,908,416
  5. Step 5: Solve for x
    x = 134,908,416/12,516
  6. Step 6: Final answer
    x = 10,778.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.