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Finding the Fourth Proportional to 12,827.98, 17,701.68 and 7,447.96

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Solution

The fourth proportional to 12,827.98, 17,701.68 and 7,447.96 is: 10,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.98 : 17,701.68 = 7,447.96 : x
  2. Step 2: Convert to fraction form
    12,827.98/17,701.68 = 7,447.96/x
  3. Step 3: Cross multiply
    12,827.98x = 17,701.68 × 7,447.96
  4. Step 4: Simplify right side
    12,827.98x = 131,841,404.57
  5. Step 5: Solve for x
    x = 131,841,404.57/12,827.98
  6. Step 6: Final answer
    x = 10,277.64

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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.