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Finding the Fourth Proportional to 1,531.70, 2,114.13 and 868.95

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Solution

The fourth proportional to 1,531.70, 2,114.13 and 868.95 is: 1,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.70 : 2,114.13 = 868.95 : x
  2. Step 2: Convert to fraction form
    1,531.70/2,114.13 = 868.95/x
  3. Step 3: Cross multiply
    1,531.70x = 2,114.13 × 868.95
  4. Step 4: Simplify right side
    1,531.70x = 1,837,073.26
  5. Step 5: Solve for x
    x = 1,837,073.26/1,531.70
  6. Step 6: Final answer
    x = 1,199.37

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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.