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Finding the Fourth Proportional to 7,722, 10,657.17 and 4,737.15

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Solution

The fourth proportional to 7,722, 10,657.17 and 4,737.15 is: 6,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 10,657.17 = 4,737.15 : x
  2. Step 2: Convert to fraction form
    7,722/10,657.17 = 4,737.15/x
  3. Step 3: Cross multiply
    7,722x = 10,657.17 × 4,737.15
  4. Step 4: Simplify right side
    7,722x = 50,484,612.87
  5. Step 5: Solve for x
    x = 50,484,612.87/7,722
  6. Step 6: Final answer
    x = 6,537.76

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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.