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Finding the Fourth Proportional to 2,223.66, 3,335.88 and 991.05

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Solution

The fourth proportional to 2,223.66, 3,335.88 and 991.05 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.66 : 3,335.88 = 991.05 : x
  2. Step 2: Convert to fraction form
    2,223.66/3,335.88 = 991.05/x
  3. Step 3: Cross multiply
    2,223.66x = 3,335.88 × 991.05
  4. Step 4: Simplify right side
    2,223.66x = 3,306,009.51
  5. Step 5: Solve for x
    x = 3,306,009.51/2,223.66
  6. Step 6: Final answer
    x = 1,486.74

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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.