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Finding the Fourth Proportional to 1,531.50, 2,113.95 and 910.38

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Solution

The fourth proportional to 1,531.50, 2,113.95 and 910.38 is: 1,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.50 : 2,113.95 = 910.38 : x
  2. Step 2: Convert to fraction form
    1,531.50/2,113.95 = 910.38/x
  3. Step 3: Cross multiply
    1,531.50x = 2,113.95 × 910.38
  4. Step 4: Simplify right side
    1,531.50x = 1,924,497.80
  5. Step 5: Solve for x
    x = 1,924,497.80/1,531.50
  6. Step 6: Final answer
    x = 1,256.61

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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.