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Finding the Fourth Proportional to 9,856.56, 14,781.64 and 3,280.98

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Solution

The fourth proportional to 9,856.56, 14,781.64 and 3,280.98 is: 4,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.56 : 14,781.64 = 3,280.98 : x
  2. Step 2: Convert to fraction form
    9,856.56/14,781.64 = 3,280.98/x
  3. Step 3: Cross multiply
    9,856.56x = 14,781.64 × 3,280.98
  4. Step 4: Simplify right side
    9,856.56x = 48,498,265.21
  5. Step 5: Solve for x
    x = 48,498,265.21/9,856.56
  6. Step 6: Final answer
    x = 4,920.40

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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.