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Finding the Fourth Proportional to 7,865.01, 11,792.10 and 2,931.96

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Solution

The fourth proportional to 7,865.01, 11,792.10 and 2,931.96 is: 4,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.01 : 11,792.10 = 2,931.96 : x
  2. Step 2: Convert to fraction form
    7,865.01/11,792.10 = 2,931.96/x
  3. Step 3: Cross multiply
    7,865.01x = 11,792.10 × 2,931.96
  4. Step 4: Simplify right side
    7,865.01x = 34,573,965.52
  5. Step 5: Solve for x
    x = 34,573,965.52/7,865.01
  6. Step 6: Final answer
    x = 4,395.92

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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.