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Finding the Fourth Proportional to 12,147.85, 16,768.23 and 7,113.69

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Solution

The fourth proportional to 12,147.85, 16,768.23 and 7,113.69 is: 9,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.85 : 16,768.23 = 7,113.69 : x
  2. Step 2: Convert to fraction form
    12,147.85/16,768.23 = 7,113.69/x
  3. Step 3: Cross multiply
    12,147.85x = 16,768.23 × 7,113.69
  4. Step 4: Simplify right side
    12,147.85x = 119,283,990.07
  5. Step 5: Solve for x
    x = 119,283,990.07/12,147.85
  6. Step 6: Final answer
    x = 9,819.35

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Double scale
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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.