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Finding the Fourth Proportional to 32,488, 48,732 and 7,864

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Solution

The fourth proportional to 32,488, 48,732 and 7,864 is: 11,796

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488 : 48,732 = 7,864 : x
  2. Step 2: Convert to fraction form
    32,488/48,732 = 7,864/x
  3. Step 3: Cross multiply
    32,488x = 48,732 × 7,864
  4. Step 4: Simplify right side
    32,488x = 383,228,448
  5. Step 5: Solve for x
    x = 383,228,448/32,488
  6. Step 6: Final answer
    x = 11,796

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