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Finding the Fourth Proportional to 7,890, 10,887.84 and 4,353.12

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Solution

The fourth proportional to 7,890, 10,887.84 and 4,353.12 is: 6,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890 : 10,887.84 = 4,353.12 : x
  2. Step 2: Convert to fraction form
    7,890/10,887.84 = 4,353.12/x
  3. Step 3: Cross multiply
    7,890x = 10,887.84 × 4,353.12
  4. Step 4: Simplify right side
    7,890x = 47,396,074.06
  5. Step 5: Solve for x
    x = 47,396,074.06/7,890
  6. Step 6: Final answer
    x = 6,007.11

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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.