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Finding the Fourth Proportional to 2,265, 3,125.30 and 1,270.32

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Solution

The fourth proportional to 2,265, 3,125.30 and 1,270.32 is: 1,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265 : 3,125.30 = 1,270.32 : x
  2. Step 2: Convert to fraction form
    2,265/3,125.30 = 1,270.32/x
  3. Step 3: Cross multiply
    2,265x = 3,125.30 × 1,270.32
  4. Step 4: Simplify right side
    2,265x = 3,970,131.10
  5. Step 5: Solve for x
    x = 3,970,131.10/2,265
  6. Step 6: Final answer
    x = 1,752.82

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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.