Home / 1,114.70-1,541.43-1,097.08

Finding the Fourth Proportional to 1,114.70, 1,541.43 and 1,097.08

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Solution

The fourth proportional to 1,114.70, 1,541.43 and 1,097.08 is: 1,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.70 : 1,541.43 = 1,097.08 : x
  2. Step 2: Convert to fraction form
    1,114.70/1,541.43 = 1,097.08/x
  3. Step 3: Cross multiply
    1,114.70x = 1,541.43 × 1,097.08
  4. Step 4: Simplify right side
    1,114.70x = 1,691,068.17
  5. Step 5: Solve for x
    x = 1,691,068.17/1,114.70
  6. Step 6: Final answer
    x = 1,517.07

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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.