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Finding the Fourth Proportional to 9,871.16, 13,618.10 and 6,467.20

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Solution

The fourth proportional to 9,871.16, 13,618.10 and 6,467.20 is: 8,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.16 : 13,618.10 = 6,467.20 : x
  2. Step 2: Convert to fraction form
    9,871.16/13,618.10 = 6,467.20/x
  3. Step 3: Cross multiply
    9,871.16x = 13,618.10 × 6,467.20
  4. Step 4: Simplify right side
    9,871.16x = 88,070,943.98
  5. Step 5: Solve for x
    x = 88,070,943.98/9,871.16
  6. Step 6: Final answer
    x = 8,922.05

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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.