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Finding the Fourth Proportional to 12,793.50, 17,656.65 and 7,204.50

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Solution

The fourth proportional to 12,793.50, 17,656.65 and 7,204.50 is: 9,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.50 : 17,656.65 = 7,204.50 : x
  2. Step 2: Convert to fraction form
    12,793.50/17,656.65 = 7,204.50/x
  3. Step 3: Cross multiply
    12,793.50x = 17,656.65 × 7,204.50
  4. Step 4: Simplify right side
    12,793.50x = 127,207,334.93
  5. Step 5: Solve for x
    x = 127,207,334.93/12,793.50
  6. Step 6: Final answer
    x = 9,943.12

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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.