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Finding the Fourth Proportional to 1,972.50, 2,720.08 and 1,530.24

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Solution

The fourth proportional to 1,972.50, 2,720.08 and 1,530.24 is: 2,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.50 : 2,720.08 = 1,530.24 : x
  2. Step 2: Convert to fraction form
    1,972.50/2,720.08 = 1,530.24/x
  3. Step 3: Cross multiply
    1,972.50x = 2,720.08 × 1,530.24
  4. Step 4: Simplify right side
    1,972.50x = 4,162,375.22
  5. Step 5: Solve for x
    x = 4,162,375.22/1,972.50
  6. Step 6: Final answer
    x = 2,110.20

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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.