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Finding the Fourth Proportional to 12,280.50, 16,953.84 and 8,652.15

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Solution

The fourth proportional to 12,280.50, 16,953.84 and 8,652.15 is: 11,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.50 : 16,953.84 = 8,652.15 : x
  2. Step 2: Convert to fraction form
    12,280.50/16,953.84 = 8,652.15/x
  3. Step 3: Cross multiply
    12,280.50x = 16,953.84 × 8,652.15
  4. Step 4: Simplify right side
    12,280.50x = 146,687,166.76
  5. Step 5: Solve for x
    x = 146,687,166.76/12,280.50
  6. Step 6: Final answer
    x = 11,944.72

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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.