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Finding the Fourth Proportional to 5,295.62, 7,947.18 and 2,178.47

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Solution

The fourth proportional to 5,295.62, 7,947.18 and 2,178.47 is: 3,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.62 : 7,947.18 = 2,178.47 : x
  2. Step 2: Convert to fraction form
    5,295.62/7,947.18 = 2,178.47/x
  3. Step 3: Cross multiply
    5,295.62x = 7,947.18 × 2,178.47
  4. Step 4: Simplify right side
    5,295.62x = 17,312,713.08
  5. Step 5: Solve for x
    x = 17,312,713.08/5,295.62
  6. Step 6: Final answer
    x = 3,269.25

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1.5x scale

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.