Home / 1,112.74-1,534.62-947.50

Finding the Fourth Proportional to 1,112.74, 1,534.62 and 947.50

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Solution

The fourth proportional to 1,112.74, 1,534.62 and 947.50 is: 1,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.74 : 1,534.62 = 947.50 : x
  2. Step 2: Convert to fraction form
    1,112.74/1,534.62 = 947.50/x
  3. Step 3: Cross multiply
    1,112.74x = 1,534.62 × 947.50
  4. Step 4: Simplify right side
    1,112.74x = 1,454,052.45
  5. Step 5: Solve for x
    x = 1,454,052.45/1,112.74
  6. Step 6: Final answer
    x = 1,306.73

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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.