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Finding the Fourth Proportional to 9,862.66, 13,609.94 and 5,385.54

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Solution

The fourth proportional to 9,862.66, 13,609.94 and 5,385.54 is: 7,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.66 : 13,609.94 = 5,385.54 : x
  2. Step 2: Convert to fraction form
    9,862.66/13,609.94 = 5,385.54/x
  3. Step 3: Cross multiply
    9,862.66x = 13,609.94 × 5,385.54
  4. Step 4: Simplify right side
    9,862.66x = 73,296,876.27
  5. Step 5: Solve for x
    x = 73,296,876.27/9,862.66
  6. Step 6: Final answer
    x = 7,431.76

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1.5x scale

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.