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Finding the Fourth Proportional to 9,000.78, 13,495.32 and 3,734.34

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Solution

The fourth proportional to 9,000.78, 13,495.32 and 3,734.34 is: 5,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.78 : 13,495.32 = 3,734.34 : x
  2. Step 2: Convert to fraction form
    9,000.78/13,495.32 = 3,734.34/x
  3. Step 3: Cross multiply
    9,000.78x = 13,495.32 × 3,734.34
  4. Step 4: Simplify right side
    9,000.78x = 50,396,113.29
  5. Step 5: Solve for x
    x = 50,396,113.29/9,000.78
  6. Step 6: Final answer
    x = 5,599.08

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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.