Home / 1,471.32-2,031.27-1,023.84

Finding the Fourth Proportional to 1,471.32, 2,031.27 and 1,023.84

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Solution

The fourth proportional to 1,471.32, 2,031.27 and 1,023.84 is: 1,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.32 : 2,031.27 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    1,471.32/2,031.27 = 1,023.84/x
  3. Step 3: Cross multiply
    1,471.32x = 2,031.27 × 1,023.84
  4. Step 4: Simplify right side
    1,471.32x = 2,079,695.48
  5. Step 5: Solve for x
    x = 2,079,695.48/1,471.32
  6. Step 6: Final answer
    x = 1,413.49

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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.