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Finding the Fourth Proportional to 19,307.76, 28,961.28 and 8,221.92

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Solution

The fourth proportional to 19,307.76, 28,961.28 and 8,221.92 is: 12,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307.76 : 28,961.28 = 8,221.92 : x
  2. Step 2: Convert to fraction form
    19,307.76/28,961.28 = 8,221.92/x
  3. Step 3: Cross multiply
    19,307.76x = 28,961.28 × 8,221.92
  4. Step 4: Simplify right side
    19,307.76x = 238,117,327.26
  5. Step 5: Solve for x
    x = 238,117,327.26/19,307.76
  6. Step 6: Final answer
    x = 12,332.73

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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.