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Finding the Fourth Proportional to 1,981.53, 2,972.16 and 595.08

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Solution

The fourth proportional to 1,981.53, 2,972.16 and 595.08 is: 892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.53 : 2,972.16 = 595.08 : x
  2. Step 2: Convert to fraction form
    1,981.53/2,972.16 = 595.08/x
  3. Step 3: Cross multiply
    1,981.53x = 2,972.16 × 595.08
  4. Step 4: Simplify right side
    1,981.53x = 1,768,672.97
  5. Step 5: Solve for x
    x = 1,768,672.97/1,981.53
  6. Step 6: Final answer
    x = 892.58

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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.