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Finding the Fourth Proportional to 5,312.97, 7,972.98 and 3,559.86

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Solution

The fourth proportional to 5,312.97, 7,972.98 and 3,559.86 is: 5,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.97 : 7,972.98 = 3,559.86 : x
  2. Step 2: Convert to fraction form
    5,312.97/7,972.98 = 3,559.86/x
  3. Step 3: Cross multiply
    5,312.97x = 7,972.98 × 3,559.86
  4. Step 4: Simplify right side
    5,312.97x = 28,382,692.58
  5. Step 5: Solve for x
    x = 28,382,692.58/5,312.97
  6. Step 6: Final answer
    x = 5,342.15

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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.