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Finding the Fourth Proportional to 5,456.50, 7,529.97 and 2,972.50

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Solution

The fourth proportional to 5,456.50, 7,529.97 and 2,972.50 is: 4,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.50 : 7,529.97 = 2,972.50 : x
  2. Step 2: Convert to fraction form
    5,456.50/7,529.97 = 2,972.50/x
  3. Step 3: Cross multiply
    5,456.50x = 7,529.97 × 2,972.50
  4. Step 4: Simplify right side
    5,456.50x = 22,382,835.83
  5. Step 5: Solve for x
    x = 22,382,835.83/5,456.50
  6. Step 6: Final answer
    x = 4,102.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.