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Finding the Fourth Proportional to 12,307.60, 18,468.60 and 4,517.20

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Solution

The fourth proportional to 12,307.60, 18,468.60 and 4,517.20 is: 6,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.60 : 18,468.60 = 4,517.20 : x
  2. Step 2: Convert to fraction form
    12,307.60/18,468.60 = 4,517.20/x
  3. Step 3: Cross multiply
    12,307.60x = 18,468.60 × 4,517.20
  4. Step 4: Simplify right side
    12,307.60x = 83,426,359.92
  5. Step 5: Solve for x
    x = 83,426,359.92/12,307.60
  6. Step 6: Final answer
    x = 6,778.44

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1.5x scale

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.