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Finding the Fourth Proportional to 2,657.29, 3,984.39 and 901.70

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Solution

The fourth proportional to 2,657.29, 3,984.39 and 901.70 is: 1,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.29 : 3,984.39 = 901.70 : x
  2. Step 2: Convert to fraction form
    2,657.29/3,984.39 = 901.70/x
  3. Step 3: Cross multiply
    2,657.29x = 3,984.39 × 901.70
  4. Step 4: Simplify right side
    2,657.29x = 3,592,724.46
  5. Step 5: Solve for x
    x = 3,592,724.46/2,657.29
  6. Step 6: Final answer
    x = 1,352.03

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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.