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Finding the Fourth Proportional to 4,656, 6,422.40 and 3,726.72

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Solution

The fourth proportional to 4,656, 6,422.40 and 3,726.72 is: 5,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656 : 6,422.40 = 3,726.72 : x
  2. Step 2: Convert to fraction form
    4,656/6,422.40 = 3,726.72/x
  3. Step 3: Cross multiply
    4,656x = 6,422.40 × 3,726.72
  4. Step 4: Simplify right side
    4,656x = 23,934,486.53
  5. Step 5: Solve for x
    x = 23,934,486.53/4,656
  6. Step 6: Final answer
    x = 5,140.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.