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Finding the Fourth Proportional to 1,378.92, 1,903.14 and 1,232.36

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Solution

The fourth proportional to 1,378.92, 1,903.14 and 1,232.36 is: 1,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.92 : 1,903.14 = 1,232.36 : x
  2. Step 2: Convert to fraction form
    1,378.92/1,903.14 = 1,232.36/x
  3. Step 3: Cross multiply
    1,378.92x = 1,903.14 × 1,232.36
  4. Step 4: Simplify right side
    1,378.92x = 2,345,353.61
  5. Step 5: Solve for x
    x = 2,345,353.61/1,378.92
  6. Step 6: Final answer
    x = 1,700.86

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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.