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Finding the Fourth Proportional to 1,842.47, 2,763.98 and 610.19

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Solution

The fourth proportional to 1,842.47, 2,763.98 and 610.19 is: 915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.47 : 2,763.98 = 610.19 : x
  2. Step 2: Convert to fraction form
    1,842.47/2,763.98 = 610.19/x
  3. Step 3: Cross multiply
    1,842.47x = 2,763.98 × 610.19
  4. Step 4: Simplify right side
    1,842.47x = 1,686,552.96
  5. Step 5: Solve for x
    x = 1,686,552.96/1,842.47
  6. Step 6: Final answer
    x = 915.38

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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.