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Finding the Fourth Proportional to 2,362.48, 3,543.74 and 901.24

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Solution

The fourth proportional to 2,362.48, 3,543.74 and 901.24 is: 1,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.48 : 3,543.74 = 901.24 : x
  2. Step 2: Convert to fraction form
    2,362.48/3,543.74 = 901.24/x
  3. Step 3: Cross multiply
    2,362.48x = 3,543.74 × 901.24
  4. Step 4: Simplify right side
    2,362.48x = 3,193,760.24
  5. Step 5: Solve for x
    x = 3,193,760.24/2,362.48
  6. Step 6: Final answer
    x = 1,351.87

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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.