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Finding the Fourth Proportional to 5,298.57, 7,947.86 and 2,376.87

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Solution

The fourth proportional to 5,298.57, 7,947.86 and 2,376.87 is: 3,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.57 : 7,947.86 = 2,376.87 : x
  2. Step 2: Convert to fraction form
    5,298.57/7,947.86 = 2,376.87/x
  3. Step 3: Cross multiply
    5,298.57x = 7,947.86 × 2,376.87
  4. Step 4: Simplify right side
    5,298.57x = 18,891,018.11
  5. Step 5: Solve for x
    x = 18,891,018.11/5,298.57
  6. Step 6: Final answer
    x = 3,565.31

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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.