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Finding the Fourth Proportional to 10,591.28, 14,618 and 6,117.92

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Solution

The fourth proportional to 10,591.28, 14,618 and 6,117.92 is: 8,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.28 : 14,618 = 6,117.92 : x
  2. Step 2: Convert to fraction form
    10,591.28/14,618 = 6,117.92/x
  3. Step 3: Cross multiply
    10,591.28x = 14,618 × 6,117.92
  4. Step 4: Simplify right side
    10,591.28x = 89,431,754.56
  5. Step 5: Solve for x
    x = 89,431,754.56/10,591.28
  6. Step 6: Final answer
    x = 8,443.90

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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.