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Finding the Fourth Proportional to 9,876, 13,631.16 and 6,519.48

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Solution

The fourth proportional to 9,876, 13,631.16 and 6,519.48 is: 8,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876 : 13,631.16 = 6,519.48 : x
  2. Step 2: Convert to fraction form
    9,876/13,631.16 = 6,519.48/x
  3. Step 3: Cross multiply
    9,876x = 13,631.16 × 6,519.48
  4. Step 4: Simplify right side
    9,876x = 88,868,075.00
  5. Step 5: Solve for x
    x = 88,868,075.00/9,876
  6. Step 6: Final answer
    x = 8,998.39

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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.