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Finding the Fourth Proportional to 10,469.87, 15,697.51 and 3,894.29

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Solution

The fourth proportional to 10,469.87, 15,697.51 and 3,894.29 is: 5,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.87 : 15,697.51 = 3,894.29 : x
  2. Step 2: Convert to fraction form
    10,469.87/15,697.51 = 3,894.29/x
  3. Step 3: Cross multiply
    10,469.87x = 15,697.51 × 3,894.29
  4. Step 4: Simplify right side
    10,469.87x = 61,130,656.22
  5. Step 5: Solve for x
    x = 61,130,656.22/10,469.87
  6. Step 6: Final answer
    x = 5,838.72

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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.