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Finding the Fourth Proportional to 5,257.60, 7,872.72 and 5,101.77

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Solution

The fourth proportional to 5,257.60, 7,872.72 and 5,101.77 is: 7,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.60 : 7,872.72 = 5,101.77 : x
  2. Step 2: Convert to fraction form
    5,257.60/7,872.72 = 5,101.77/x
  3. Step 3: Cross multiply
    5,257.60x = 7,872.72 × 5,101.77
  4. Step 4: Simplify right side
    5,257.60x = 40,164,806.71
  5. Step 5: Solve for x
    x = 40,164,806.71/5,257.60
  6. Step 6: Final answer
    x = 7,639.38

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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.