Home / 1,471.28-2,030.36-808.13

Finding the Fourth Proportional to 1,471.28, 2,030.36 and 808.13

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Solution

The fourth proportional to 1,471.28, 2,030.36 and 808.13 is: 1,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.28 : 2,030.36 = 808.13 : x
  2. Step 2: Convert to fraction form
    1,471.28/2,030.36 = 808.13/x
  3. Step 3: Cross multiply
    1,471.28x = 2,030.36 × 808.13
  4. Step 4: Simplify right side
    1,471.28x = 1,640,794.83
  5. Step 5: Solve for x
    x = 1,640,794.83/1,471.28
  6. Step 6: Final answer
    x = 1,115.22

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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.