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Finding the Fourth Proportional to 1,948.89, 2,923.47 and 562.17

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Solution

The fourth proportional to 1,948.89, 2,923.47 and 562.17 is: 843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.89 : 2,923.47 = 562.17 : x
  2. Step 2: Convert to fraction form
    1,948.89/2,923.47 = 562.17/x
  3. Step 3: Cross multiply
    1,948.89x = 2,923.47 × 562.17
  4. Step 4: Simplify right side
    1,948.89x = 1,643,487.13
  5. Step 5: Solve for x
    x = 1,643,487.13/1,948.89
  6. Step 6: Final answer
    x = 843.29

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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.