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Finding the Fourth Proportional to 2,925, 4,387.38 and 733.74

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Solution

The fourth proportional to 2,925, 4,387.38 and 733.74 is: 1,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925 : 4,387.38 = 733.74 : x
  2. Step 2: Convert to fraction form
    2,925/4,387.38 = 733.74/x
  3. Step 3: Cross multiply
    2,925x = 4,387.38 × 733.74
  4. Step 4: Simplify right side
    2,925x = 3,219,196.20
  5. Step 5: Solve for x
    x = 3,219,196.20/2,925
  6. Step 6: Final answer
    x = 1,100.58

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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.