Home / 1,113.86-1,537.35-927.15

Finding the Fourth Proportional to 1,113.86, 1,537.35 and 927.15

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Solution

The fourth proportional to 1,113.86, 1,537.35 and 927.15 is: 1,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.86 : 1,537.35 = 927.15 : x
  2. Step 2: Convert to fraction form
    1,113.86/1,537.35 = 927.15/x
  3. Step 3: Cross multiply
    1,113.86x = 1,537.35 × 927.15
  4. Step 4: Simplify right side
    1,113.86x = 1,425,354.05
  5. Step 5: Solve for x
    x = 1,425,354.05/1,113.86
  6. Step 6: Final answer
    x = 1,279.66

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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.