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Finding the Fourth Proportional to 4,959.90, 7,440 and 3,319.65

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Solution

The fourth proportional to 4,959.90, 7,440 and 3,319.65 is: 4,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.90 : 7,440 = 3,319.65 : x
  2. Step 2: Convert to fraction form
    4,959.90/7,440 = 3,319.65/x
  3. Step 3: Cross multiply
    4,959.90x = 7,440 × 3,319.65
  4. Step 4: Simplify right side
    4,959.90x = 24,698,196
  5. Step 5: Solve for x
    x = 24,698,196/4,959.90
  6. Step 6: Final answer
    x = 4,979.58

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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.