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Finding the Fourth Proportional to 10,240.84, 14,132.88 and 5,765.32

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Solution

The fourth proportional to 10,240.84, 14,132.88 and 5,765.32 is: 7,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.84 : 14,132.88 = 5,765.32 : x
  2. Step 2: Convert to fraction form
    10,240.84/14,132.88 = 5,765.32/x
  3. Step 3: Cross multiply
    10,240.84x = 14,132.88 × 5,765.32
  4. Step 4: Simplify right side
    10,240.84x = 81,480,575.72
  5. Step 5: Solve for x
    x = 81,480,575.72/10,240.84
  6. Step 6: Final answer
    x = 7,956.43

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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.