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Finding the Fourth Proportional to 15,281.78, 22,885.64 and 7,765.57

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Solution

The fourth proportional to 15,281.78, 22,885.64 and 7,765.57 is: 11,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.78 : 22,885.64 = 7,765.57 : x
  2. Step 2: Convert to fraction form
    15,281.78/22,885.64 = 7,765.57/x
  3. Step 3: Cross multiply
    15,281.78x = 22,885.64 × 7,765.57
  4. Step 4: Simplify right side
    15,281.78x = 177,720,039.41
  5. Step 5: Solve for x
    x = 177,720,039.41/15,281.78
  6. Step 6: Final answer
    x = 11,629.54

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1.5x scale

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.