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Finding the Fourth Proportional to 2,454.84, 3,681.85 and 723.06

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Solution

The fourth proportional to 2,454.84, 3,681.85 and 723.06 is: 1,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.84 : 3,681.85 = 723.06 : x
  2. Step 2: Convert to fraction form
    2,454.84/3,681.85 = 723.06/x
  3. Step 3: Cross multiply
    2,454.84x = 3,681.85 × 723.06
  4. Step 4: Simplify right side
    2,454.84x = 2,662,198.46
  5. Step 5: Solve for x
    x = 2,662,198.46/2,454.84
  6. Step 6: Final answer
    x = 1,084.47

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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.