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Finding the Fourth Proportional to 2,969.55, 4,434.15 and 2,657.90

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Solution

The fourth proportional to 2,969.55, 4,434.15 and 2,657.90 is: 3,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.55 : 4,434.15 = 2,657.90 : x
  2. Step 2: Convert to fraction form
    2,969.55/4,434.15 = 2,657.90/x
  3. Step 3: Cross multiply
    2,969.55x = 4,434.15 × 2,657.90
  4. Step 4: Simplify right side
    2,969.55x = 11,785,505.11
  5. Step 5: Solve for x
    x = 11,785,505.11/2,969.55
  6. Step 6: Final answer
    x = 3,968.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.