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Finding the Fourth Proportional to 9,856.68, 14,780.10 and 3,280.56

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Solution

The fourth proportional to 9,856.68, 14,780.10 and 3,280.56 is: 4,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.68 : 14,780.10 = 3,280.56 : x
  2. Step 2: Convert to fraction form
    9,856.68/14,780.10 = 3,280.56/x
  3. Step 3: Cross multiply
    9,856.68x = 14,780.10 × 3,280.56
  4. Step 4: Simplify right side
    9,856.68x = 48,487,004.86
  5. Step 5: Solve for x
    x = 48,487,004.86/9,856.68
  6. Step 6: Final answer
    x = 4,919.20

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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.