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Finding the Fourth Proportional to 4,969.70, 7,454.55 and 4,167.80

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Solution

The fourth proportional to 4,969.70, 7,454.55 and 4,167.80 is: 6,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.70 : 7,454.55 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    4,969.70/7,454.55 = 4,167.80/x
  3. Step 3: Cross multiply
    4,969.70x = 7,454.55 × 4,167.80
  4. Step 4: Simplify right side
    4,969.70x = 31,069,073.49
  5. Step 5: Solve for x
    x = 31,069,073.49/4,969.70
  6. Step 6: Final answer
    x = 6,251.70

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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.