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Finding the Fourth Proportional to 12,080, 16,670.43 and 7,047.68

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Solution

The fourth proportional to 12,080, 16,670.43 and 7,047.68 is: 9,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080 : 16,670.43 = 7,047.68 : x
  2. Step 2: Convert to fraction form
    12,080/16,670.43 = 7,047.68/x
  3. Step 3: Cross multiply
    12,080x = 16,670.43 × 7,047.68
  4. Step 4: Simplify right side
    12,080x = 117,487,856.10
  5. Step 5: Solve for x
    x = 117,487,856.10/12,080
  6. Step 6: Final answer
    x = 9,725.82

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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.