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Finding the Fourth Proportional to 5,295.11, 7,947.86 and 4,423.21

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Solution

The fourth proportional to 5,295.11, 7,947.86 and 4,423.21 is: 6,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.11 : 7,947.86 = 4,423.21 : x
  2. Step 2: Convert to fraction form
    5,295.11/7,947.86 = 4,423.21/x
  3. Step 3: Cross multiply
    5,295.11x = 7,947.86 × 4,423.21
  4. Step 4: Simplify right side
    5,295.11x = 35,155,011.84
  5. Step 5: Solve for x
    x = 35,155,011.84/5,295.11
  6. Step 6: Final answer
    x = 6,639.15

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Why These Related Problems?

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