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Finding the Fourth Proportional to 2,347.48, 3,521.22 and 681.65

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Solution

The fourth proportional to 2,347.48, 3,521.22 and 681.65 is: 1,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.48 : 3,521.22 = 681.65 : x
  2. Step 2: Convert to fraction form
    2,347.48/3,521.22 = 681.65/x
  3. Step 3: Cross multiply
    2,347.48x = 3,521.22 × 681.65
  4. Step 4: Simplify right side
    2,347.48x = 2,400,239.61
  5. Step 5: Solve for x
    x = 2,400,239.61/2,347.48
  6. Step 6: Final answer
    x = 1,022.48

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1.5x scale

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.