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Finding the Fourth Proportional to 2,349.76, 3,242.86 and 1,301.80

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Solution

The fourth proportional to 2,349.76, 3,242.86 and 1,301.80 is: 1,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.76 : 3,242.86 = 1,301.80 : x
  2. Step 2: Convert to fraction form
    2,349.76/3,242.86 = 1,301.80/x
  3. Step 3: Cross multiply
    2,349.76x = 3,242.86 × 1,301.80
  4. Step 4: Simplify right side
    2,349.76x = 4,221,555.15
  5. Step 5: Solve for x
    x = 4,221,555.15/2,349.76
  6. Step 6: Final answer
    x = 1,796.59

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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.