Home / 2,567.49-3,542.56-1,970.65

Finding the Fourth Proportional to 2,567.49, 3,542.56 and 1,970.65

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Solution

The fourth proportional to 2,567.49, 3,542.56 and 1,970.65 is: 2,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.49 : 3,542.56 = 1,970.65 : x
  2. Step 2: Convert to fraction form
    2,567.49/3,542.56 = 1,970.65/x
  3. Step 3: Cross multiply
    2,567.49x = 3,542.56 × 1,970.65
  4. Step 4: Simplify right side
    2,567.49x = 6,981,145.86
  5. Step 5: Solve for x
    x = 6,981,145.86/2,567.49
  6. Step 6: Final answer
    x = 2,719.05

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1.5x scale

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.