Home / 1,121.02-1,547.13-806.20

Finding the Fourth Proportional to 1,121.02, 1,547.13 and 806.20

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Solution

The fourth proportional to 1,121.02, 1,547.13 and 806.20 is: 1,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.02 : 1,547.13 = 806.20 : x
  2. Step 2: Convert to fraction form
    1,121.02/1,547.13 = 806.20/x
  3. Step 3: Cross multiply
    1,121.02x = 1,547.13 × 806.20
  4. Step 4: Simplify right side
    1,121.02x = 1,247,296.21
  5. Step 5: Solve for x
    x = 1,247,296.21/1,121.02
  6. Step 6: Final answer
    x = 1,112.64

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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.