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Finding the Fourth Proportional to 7,881.66, 11,811.51 and 3,981.51

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Solution

The fourth proportional to 7,881.66, 11,811.51 and 3,981.51 is: 5,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.66 : 11,811.51 = 3,981.51 : x
  2. Step 2: Convert to fraction form
    7,881.66/11,811.51 = 3,981.51/x
  3. Step 3: Cross multiply
    7,881.66x = 11,811.51 × 3,981.51
  4. Step 4: Simplify right side
    7,881.66x = 47,027,645.18
  5. Step 5: Solve for x
    x = 47,027,645.18/7,881.66
  6. Step 6: Final answer
    x = 5,966.72

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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.