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Finding the Fourth Proportional to 3,746, 5,618.98 and 972.66

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Solution

The fourth proportional to 3,746, 5,618.98 and 972.66 is: 1,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 5,618.98 = 972.66 : x
  2. Step 2: Convert to fraction form
    3,746/5,618.98 = 972.66/x
  3. Step 3: Cross multiply
    3,746x = 5,618.98 × 972.66
  4. Step 4: Simplify right side
    3,746x = 5,465,357.09
  5. Step 5: Solve for x
    x = 5,465,357.09/3,746
  6. Step 6: Final answer
    x = 1,458.98

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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.