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Finding the Fourth Proportional to 7,157.40, 10,737.70 and 2,940.65

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Solution

The fourth proportional to 7,157.40, 10,737.70 and 2,940.65 is: 4,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.40 : 10,737.70 = 2,940.65 : x
  2. Step 2: Convert to fraction form
    7,157.40/10,737.70 = 2,940.65/x
  3. Step 3: Cross multiply
    7,157.40x = 10,737.70 × 2,940.65
  4. Step 4: Simplify right side
    7,157.40x = 31,575,775.96
  5. Step 5: Solve for x
    x = 31,575,775.96/7,157.40
  6. Step 6: Final answer
    x = 4,411.63

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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.