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Finding the Fourth Proportional to 12,689, 17,518.50 and 8,280.68

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Solution

The fourth proportional to 12,689, 17,518.50 and 8,280.68 is: 11,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689 : 17,518.50 = 8,280.68 : x
  2. Step 2: Convert to fraction form
    12,689/17,518.50 = 8,280.68/x
  3. Step 3: Cross multiply
    12,689x = 17,518.50 × 8,280.68
  4. Step 4: Simplify right side
    12,689x = 145,065,092.58
  5. Step 5: Solve for x
    x = 145,065,092.58/12,689
  6. Step 6: Final answer
    x = 11,432.35

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1.5x scale

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.