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Finding the Fourth Proportional to 7,375, 11,065.90 and 3,423.72

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Solution

The fourth proportional to 7,375, 11,065.90 and 3,423.72 is: 5,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375 : 11,065.90 = 3,423.72 : x
  2. Step 2: Convert to fraction form
    7,375/11,065.90 = 3,423.72/x
  3. Step 3: Cross multiply
    7,375x = 11,065.90 × 3,423.72
  4. Step 4: Simplify right side
    7,375x = 37,886,543.15
  5. Step 5: Solve for x
    x = 37,886,543.15/7,375
  6. Step 6: Final answer
    x = 5,137.16

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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.