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Finding the Fourth Proportional to 5,787.34, 7,987.83 and 3,270.91

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Solution

The fourth proportional to 5,787.34, 7,987.83 and 3,270.91 is: 4,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.34 : 7,987.83 = 3,270.91 : x
  2. Step 2: Convert to fraction form
    5,787.34/7,987.83 = 3,270.91/x
  3. Step 3: Cross multiply
    5,787.34x = 7,987.83 × 3,270.91
  4. Step 4: Simplify right side
    5,787.34x = 26,127,445.28
  5. Step 5: Solve for x
    x = 26,127,445.28/5,787.34
  6. Step 6: Final answer
    x = 4,514.59

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1.5x scale

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.