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Finding the Fourth Proportional to 8,280.70, 11,423.35 and 4,921.14

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Solution

The fourth proportional to 8,280.70, 11,423.35 and 4,921.14 is: 6,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.70 : 11,423.35 = 4,921.14 : x
  2. Step 2: Convert to fraction form
    8,280.70/11,423.35 = 4,921.14/x
  3. Step 3: Cross multiply
    8,280.70x = 11,423.35 × 4,921.14
  4. Step 4: Simplify right side
    8,280.70x = 56,215,822.90
  5. Step 5: Solve for x
    x = 56,215,822.90/8,280.70
  6. Step 6: Final answer
    x = 6,788.78

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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.