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Finding the Fourth Proportional to 9,872.78, 13,635.99 and 7,862.96

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Solution

The fourth proportional to 9,872.78, 13,635.99 and 7,862.96 is: 10,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.78 : 13,635.99 = 7,862.96 : x
  2. Step 2: Convert to fraction form
    9,872.78/13,635.99 = 7,862.96/x
  3. Step 3: Cross multiply
    9,872.78x = 13,635.99 × 7,862.96
  4. Step 4: Simplify right side
    9,872.78x = 107,219,278.02
  5. Step 5: Solve for x
    x = 107,219,278.02/9,872.78
  6. Step 6: Final answer
    x = 10,860.10

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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.