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Finding the Fourth Proportional to 3,428.60, 5,142.93 and 963.47

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Solution

The fourth proportional to 3,428.60, 5,142.93 and 963.47 is: 1,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.60 : 5,142.93 = 963.47 : x
  2. Step 2: Convert to fraction form
    3,428.60/5,142.93 = 963.47/x
  3. Step 3: Cross multiply
    3,428.60x = 5,142.93 × 963.47
  4. Step 4: Simplify right side
    3,428.60x = 4,955,048.73
  5. Step 5: Solve for x
    x = 4,955,048.73/3,428.60
  6. Step 6: Final answer
    x = 1,445.21

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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.