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Finding the Fourth Proportional to 2,642.65, 3,649.92 and 1,756.92

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Solution

The fourth proportional to 2,642.65, 3,649.92 and 1,756.92 is: 2,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.65 : 3,649.92 = 1,756.92 : x
  2. Step 2: Convert to fraction form
    2,642.65/3,649.92 = 1,756.92/x
  3. Step 3: Cross multiply
    2,642.65x = 3,649.92 × 1,756.92
  4. Step 4: Simplify right side
    2,642.65x = 6,412,617.45
  5. Step 5: Solve for x
    x = 6,412,617.45/2,642.65
  6. Step 6: Final answer
    x = 2,426.59

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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.