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Finding the Fourth Proportional to 7,158.78, 10,737.54 and 1,964.66

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Solution

The fourth proportional to 7,158.78, 10,737.54 and 1,964.66 is: 2,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.78 : 10,737.54 = 1,964.66 : x
  2. Step 2: Convert to fraction form
    7,158.78/10,737.54 = 1,964.66/x
  3. Step 3: Cross multiply
    7,158.78x = 10,737.54 × 1,964.66
  4. Step 4: Simplify right side
    7,158.78x = 21,095,561.65
  5. Step 5: Solve for x
    x = 21,095,561.65/7,158.78
  6. Step 6: Final answer
    x = 2,946.81

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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.