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Finding the Fourth Proportional to 2,339.32, 3,508.56 and 607.84

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Solution

The fourth proportional to 2,339.32, 3,508.56 and 607.84 is: 911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.32 : 3,508.56 = 607.84 : x
  2. Step 2: Convert to fraction form
    2,339.32/3,508.56 = 607.84/x
  3. Step 3: Cross multiply
    2,339.32x = 3,508.56 × 607.84
  4. Step 4: Simplify right side
    2,339.32x = 2,132,643.11
  5. Step 5: Solve for x
    x = 2,132,643.11/2,339.32
  6. Step 6: Final answer
    x = 911.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.