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Finding the Fourth Proportional to 10,510.12, 15,764.40 and 5,832.40

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Solution

The fourth proportional to 10,510.12, 15,764.40 and 5,832.40 is: 8,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.12 : 15,764.40 = 5,832.40 : x
  2. Step 2: Convert to fraction form
    10,510.12/15,764.40 = 5,832.40/x
  3. Step 3: Cross multiply
    10,510.12x = 15,764.40 × 5,832.40
  4. Step 4: Simplify right side
    10,510.12x = 91,944,286.56
  5. Step 5: Solve for x
    x = 91,944,286.56/10,510.12
  6. Step 6: Final answer
    x = 8,748.17

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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.