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Finding the Fourth Proportional to 12,148.53, 16,765.07 and 6,842.85

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Solution

The fourth proportional to 12,148.53, 16,765.07 and 6,842.85 is: 9,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.53 : 16,765.07 = 6,842.85 : x
  2. Step 2: Convert to fraction form
    12,148.53/16,765.07 = 6,842.85/x
  3. Step 3: Cross multiply
    12,148.53x = 16,765.07 × 6,842.85
  4. Step 4: Simplify right side
    12,148.53x = 114,720,825.04
  5. Step 5: Solve for x
    x = 114,720,825.04/12,148.53
  6. Step 6: Final answer
    x = 9,443.19

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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.