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Finding the Fourth Proportional to 9,871.72, 13,616.58 and 5,889.76

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Solution

The fourth proportional to 9,871.72, 13,616.58 and 5,889.76 is: 8,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.72 : 13,616.58 = 5,889.76 : x
  2. Step 2: Convert to fraction form
    9,871.72/13,616.58 = 5,889.76/x
  3. Step 3: Cross multiply
    9,871.72x = 13,616.58 × 5,889.76
  4. Step 4: Simplify right side
    9,871.72x = 80,198,388.22
  5. Step 5: Solve for x
    x = 80,198,388.22/9,871.72
  6. Step 6: Final answer
    x = 8,124.05

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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.