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Finding the Fourth Proportional to 2,116.80, 3,176.08 and 1,295.08

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Solution

The fourth proportional to 2,116.80, 3,176.08 and 1,295.08 is: 1,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.80 : 3,176.08 = 1,295.08 : x
  2. Step 2: Convert to fraction form
    2,116.80/3,176.08 = 1,295.08/x
  3. Step 3: Cross multiply
    2,116.80x = 3,176.08 × 1,295.08
  4. Step 4: Simplify right side
    2,116.80x = 4,113,277.69
  5. Step 5: Solve for x
    x = 4,113,277.69/2,116.80
  6. Step 6: Final answer
    x = 1,943.16

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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.