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Finding the Fourth Proportional to 1,593.57, 2,199.12 and 972.57

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Solution

The fourth proportional to 1,593.57, 2,199.12 and 972.57 is: 1,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.57 : 2,199.12 = 972.57 : x
  2. Step 2: Convert to fraction form
    1,593.57/2,199.12 = 972.57/x
  3. Step 3: Cross multiply
    1,593.57x = 2,199.12 × 972.57
  4. Step 4: Simplify right side
    1,593.57x = 2,138,798.14
  5. Step 5: Solve for x
    x = 2,138,798.14/1,593.57
  6. Step 6: Final answer
    x = 1,342.14

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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.