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Finding the Fourth Proportional to 2,326.57, 3,212.07 and 1,531.15

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Solution

The fourth proportional to 2,326.57, 3,212.07 and 1,531.15 is: 2,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.57 : 3,212.07 = 1,531.15 : x
  2. Step 2: Convert to fraction form
    2,326.57/3,212.07 = 1,531.15/x
  3. Step 3: Cross multiply
    2,326.57x = 3,212.07 × 1,531.15
  4. Step 4: Simplify right side
    2,326.57x = 4,918,160.98
  5. Step 5: Solve for x
    x = 4,918,160.98/2,326.57
  6. Step 6: Final answer
    x = 2,113.91

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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.