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Finding the Fourth Proportional to 11,973.12, 16,517.76 and 7,781.76

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Solution

The fourth proportional to 11,973.12, 16,517.76 and 7,781.76 is: 10,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.12 : 16,517.76 = 7,781.76 : x
  2. Step 2: Convert to fraction form
    11,973.12/16,517.76 = 7,781.76/x
  3. Step 3: Cross multiply
    11,973.12x = 16,517.76 × 7,781.76
  4. Step 4: Simplify right side
    11,973.12x = 128,537,244.06
  5. Step 5: Solve for x
    x = 128,537,244.06/11,973.12
  6. Step 6: Final answer
    x = 10,735.48

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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.