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Finding the Fourth Proportional to 10,381.66, 15,552.42 and 8,695.77

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Solution

The fourth proportional to 10,381.66, 15,552.42 and 8,695.77 is: 13,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.66 : 15,552.42 = 8,695.77 : x
  2. Step 2: Convert to fraction form
    10,381.66/15,552.42 = 8,695.77/x
  3. Step 3: Cross multiply
    10,381.66x = 15,552.42 × 8,695.77
  4. Step 4: Simplify right side
    10,381.66x = 135,240,267.26
  5. Step 5: Solve for x
    x = 135,240,267.26/10,381.66
  6. Step 6: Final answer
    x = 13,026.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.