Home / 1,471.14-2,030.24-808.02

Finding the Fourth Proportional to 1,471.14, 2,030.24 and 808.02

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Solution

The fourth proportional to 1,471.14, 2,030.24 and 808.02 is: 1,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.14 : 2,030.24 = 808.02 : x
  2. Step 2: Convert to fraction form
    1,471.14/2,030.24 = 808.02/x
  3. Step 3: Cross multiply
    1,471.14x = 2,030.24 × 808.02
  4. Step 4: Simplify right side
    1,471.14x = 1,640,470.48
  5. Step 5: Solve for x
    x = 1,640,470.48/1,471.14
  6. Step 6: Final answer
    x = 1,115.10

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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.