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Finding the Fourth Proportional to 1,561.14, 2,337.71 and 829.08

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Solution

The fourth proportional to 1,561.14, 2,337.71 and 829.08 is: 1,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.14 : 2,337.71 = 829.08 : x
  2. Step 2: Convert to fraction form
    1,561.14/2,337.71 = 829.08/x
  3. Step 3: Cross multiply
    1,561.14x = 2,337.71 × 829.08
  4. Step 4: Simplify right side
    1,561.14x = 1,938,144.46
  5. Step 5: Solve for x
    x = 1,938,144.46/1,561.14
  6. Step 6: Final answer
    x = 1,241.49

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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.