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Finding the Fourth Proportional to 12,560.78, 18,823.33 and 9,247.88

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Solution

The fourth proportional to 12,560.78, 18,823.33 and 9,247.88 is: 13,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.78 : 18,823.33 = 9,247.88 : x
  2. Step 2: Convert to fraction form
    12,560.78/18,823.33 = 9,247.88/x
  3. Step 3: Cross multiply
    12,560.78x = 18,823.33 × 9,247.88
  4. Step 4: Simplify right side
    12,560.78x = 174,075,850.80
  5. Step 5: Solve for x
    x = 174,075,850.80/12,560.78
  6. Step 6: Final answer
    x = 13,858.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.