Home / 1,471.28-2,031.32-912.35

Finding the Fourth Proportional to 1,471.28, 2,031.32 and 912.35

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Solution

The fourth proportional to 1,471.28, 2,031.32 and 912.35 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.28 : 2,031.32 = 912.35 : x
  2. Step 2: Convert to fraction form
    1,471.28/2,031.32 = 912.35/x
  3. Step 3: Cross multiply
    1,471.28x = 2,031.32 × 912.35
  4. Step 4: Simplify right side
    1,471.28x = 1,853,260.08
  5. Step 5: Solve for x
    x = 1,853,260.08/1,471.28
  6. Step 6: Final answer
    x = 1,259.62

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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.