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Finding the Fourth Proportional to 9,871, 13,621.98 and 6,145

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Solution

The fourth proportional to 9,871, 13,621.98 and 6,145 is: 8,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871 : 13,621.98 = 6,145 : x
  2. Step 2: Convert to fraction form
    9,871/13,621.98 = 6,145/x
  3. Step 3: Cross multiply
    9,871x = 13,621.98 × 6,145
  4. Step 4: Simplify right side
    9,871x = 83,707,067.10
  5. Step 5: Solve for x
    x = 83,707,067.10/9,871
  6. Step 6: Final answer
    x = 8,480.10

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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.