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Finding the Fourth Proportional to 1,532.98, 2,115.53 and 834.36

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Solution

The fourth proportional to 1,532.98, 2,115.53 and 834.36 is: 1,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.98 : 2,115.53 = 834.36 : x
  2. Step 2: Convert to fraction form
    1,532.98/2,115.53 = 834.36/x
  3. Step 3: Cross multiply
    1,532.98x = 2,115.53 × 834.36
  4. Step 4: Simplify right side
    1,532.98x = 1,765,113.61
  5. Step 5: Solve for x
    x = 1,765,113.61/1,532.98
  6. Step 6: Final answer
    x = 1,151.43

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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.