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Finding the Fourth Proportional to 12,493.76, 18,728.80 and 4,280

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Solution

The fourth proportional to 12,493.76, 18,728.80 and 4,280 is: 6,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.76 : 18,728.80 = 4,280 : x
  2. Step 2: Convert to fraction form
    12,493.76/18,728.80 = 4,280/x
  3. Step 3: Cross multiply
    12,493.76x = 18,728.80 × 4,280
  4. Step 4: Simplify right side
    12,493.76x = 80,159,264
  5. Step 5: Solve for x
    x = 80,159,264/12,493.76
  6. Step 6: Final answer
    x = 6,415.94

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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.