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Finding the Fourth Proportional to 12,147.78, 16,765.20 and 7,435.20

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Solution

The fourth proportional to 12,147.78, 16,765.20 and 7,435.20 is: 10,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.78 : 16,765.20 = 7,435.20 : x
  2. Step 2: Convert to fraction form
    12,147.78/16,765.20 = 7,435.20/x
  3. Step 3: Cross multiply
    12,147.78x = 16,765.20 × 7,435.20
  4. Step 4: Simplify right side
    12,147.78x = 124,652,615.04
  5. Step 5: Solve for x
    x = 124,652,615.04/12,147.78
  6. Step 6: Final answer
    x = 10,261.35

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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.