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Finding the Fourth Proportional to 19,695.71, 29,524.88 and 7,856.76

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Solution

The fourth proportional to 19,695.71, 29,524.88 and 7,856.76 is: 11,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.71 : 29,524.88 = 7,856.76 : x
  2. Step 2: Convert to fraction form
    19,695.71/29,524.88 = 7,856.76/x
  3. Step 3: Cross multiply
    19,695.71x = 29,524.88 × 7,856.76
  4. Step 4: Simplify right side
    19,695.71x = 231,970,026.55
  5. Step 5: Solve for x
    x = 231,970,026.55/19,695.71
  6. Step 6: Final answer
    x = 11,777.69

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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.