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Finding the Fourth Proportional to 4,677.40, 6,981.86 and 4,123.83

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Solution

The fourth proportional to 4,677.40, 6,981.86 and 4,123.83 is: 6,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.40 : 6,981.86 = 4,123.83 : x
  2. Step 2: Convert to fraction form
    4,677.40/6,981.86 = 4,123.83/x
  3. Step 3: Cross multiply
    4,677.40x = 6,981.86 × 4,123.83
  4. Step 4: Simplify right side
    4,677.40x = 28,791,983.10
  5. Step 5: Solve for x
    x = 28,791,983.10/4,677.40
  6. Step 6: Final answer
    x = 6,155.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.