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Finding the Fourth Proportional to 10,352.60, 15,481.22 and 7,689.22

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Solution

The fourth proportional to 10,352.60, 15,481.22 and 7,689.22 is: 11,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.60 : 15,481.22 = 7,689.22 : x
  2. Step 2: Convert to fraction form
    10,352.60/15,481.22 = 7,689.22/x
  3. Step 3: Cross multiply
    10,352.60x = 15,481.22 × 7,689.22
  4. Step 4: Simplify right side
    10,352.60x = 119,038,506.45
  5. Step 5: Solve for x
    x = 119,038,506.45/10,352.60
  6. Step 6: Final answer
    x = 11,498.42

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1.5x scale

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.