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Finding the Fourth Proportional to 32,440, 48,660 and 7,816

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Solution

The fourth proportional to 32,440, 48,660 and 7,816 is: 11,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440 : 48,660 = 7,816 : x
  2. Step 2: Convert to fraction form
    32,440/48,660 = 7,816/x
  3. Step 3: Cross multiply
    32,440x = 48,660 × 7,816
  4. Step 4: Simplify right side
    32,440x = 380,326,560
  5. Step 5: Solve for x
    x = 380,326,560/32,440
  6. Step 6: Final answer
    x = 11,724

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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.