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Finding the Fourth Proportional to 1,881.95, 2,823.31 and 649.41

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Solution

The fourth proportional to 1,881.95, 2,823.31 and 649.41 is: 974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.95 : 2,823.31 = 649.41 : x
  2. Step 2: Convert to fraction form
    1,881.95/2,823.31 = 649.41/x
  3. Step 3: Cross multiply
    1,881.95x = 2,823.31 × 649.41
  4. Step 4: Simplify right side
    1,881.95x = 1,833,484.12
  5. Step 5: Solve for x
    x = 1,833,484.12/1,881.95
  6. Step 6: Final answer
    x = 974.25

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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.