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Finding the Fourth Proportional to 8,465.51, 12,691.59 and 3,787.76

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Solution

The fourth proportional to 8,465.51, 12,691.59 and 3,787.76 is: 5,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.51 : 12,691.59 = 3,787.76 : x
  2. Step 2: Convert to fraction form
    8,465.51/12,691.59 = 3,787.76/x
  3. Step 3: Cross multiply
    8,465.51x = 12,691.59 × 3,787.76
  4. Step 4: Simplify right side
    8,465.51x = 48,072,714.46
  5. Step 5: Solve for x
    x = 48,072,714.46/8,465.51
  6. Step 6: Final answer
    x = 5,678.65

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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.