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Finding the Fourth Proportional to 32,196, 48,288.81 and 8,816.97

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Solution

The fourth proportional to 32,196, 48,288.81 and 8,816.97 is: 13,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 48,288.81 = 8,816.97 : x
  2. Step 2: Convert to fraction form
    32,196/48,288.81 = 8,816.97/x
  3. Step 3: Cross multiply
    32,196x = 48,288.81 × 8,816.97
  4. Step 4: Simplify right side
    32,196x = 425,760,989.11
  5. Step 5: Solve for x
    x = 425,760,989.11/32,196
  6. Step 6: Final answer
    x = 13,224.03

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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.