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Finding the Fourth Proportional to 2,159.20, 2,980.20 and 1,275.40

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Solution

The fourth proportional to 2,159.20, 2,980.20 and 1,275.40 is: 1,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.20 : 2,980.20 = 1,275.40 : x
  2. Step 2: Convert to fraction form
    2,159.20/2,980.20 = 1,275.40/x
  3. Step 3: Cross multiply
    2,159.20x = 2,980.20 × 1,275.40
  4. Step 4: Simplify right side
    2,159.20x = 3,800,947.08
  5. Step 5: Solve for x
    x = 3,800,947.08/2,159.20
  6. Step 6: Final answer
    x = 1,760.35

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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.