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Finding the Fourth Proportional to 12,797.76, 19,167.48 and 8,117.52

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Solution

The fourth proportional to 12,797.76, 19,167.48 and 8,117.52 is: 12,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.76 : 19,167.48 = 8,117.52 : x
  2. Step 2: Convert to fraction form
    12,797.76/19,167.48 = 8,117.52/x
  3. Step 3: Cross multiply
    12,797.76x = 19,167.48 × 8,117.52
  4. Step 4: Simplify right side
    12,797.76x = 155,592,402.25
  5. Step 5: Solve for x
    x = 155,592,402.25/12,797.76
  6. Step 6: Final answer
    x = 12,157.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.