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Finding the Fourth Proportional to 2,917, 4,366.80 and 1,985.20

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Solution

The fourth proportional to 2,917, 4,366.80 and 1,985.20 is: 2,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917 : 4,366.80 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    2,917/4,366.80 = 1,985.20/x
  3. Step 3: Cross multiply
    2,917x = 4,366.80 × 1,985.20
  4. Step 4: Simplify right side
    2,917x = 8,668,971.36
  5. Step 5: Solve for x
    x = 8,668,971.36/2,917
  6. Step 6: Final answer
    x = 2,971.88

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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.