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Finding the Fourth Proportional to 7,862.32, 10,859.52 and 5,881.68

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Solution

The fourth proportional to 7,862.32, 10,859.52 and 5,881.68 is: 8,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.32 : 10,859.52 = 5,881.68 : x
  2. Step 2: Convert to fraction form
    7,862.32/10,859.52 = 5,881.68/x
  3. Step 3: Cross multiply
    7,862.32x = 10,859.52 × 5,881.68
  4. Step 4: Simplify right side
    7,862.32x = 63,872,221.59
  5. Step 5: Solve for x
    x = 63,872,221.59/7,862.32
  6. Step 6: Final answer
    x = 8,123.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.