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Finding the Fourth Proportional to 1,321.57, 1,985.11 and 1,275.50

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Solution

The fourth proportional to 1,321.57, 1,985.11 and 1,275.50 is: 1,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.57 : 1,985.11 = 1,275.50 : x
  2. Step 2: Convert to fraction form
    1,321.57/1,985.11 = 1,275.50/x
  3. Step 3: Cross multiply
    1,321.57x = 1,985.11 × 1,275.50
  4. Step 4: Simplify right side
    1,321.57x = 2,531,998.41
  5. Step 5: Solve for x
    x = 2,531,998.41/1,321.57
  6. Step 6: Final answer
    x = 1,915.91

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1.5x scale

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.