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Finding the Fourth Proportional to 10,605, 15,904.44 and 3,207.72

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Solution

The fourth proportional to 10,605, 15,904.44 and 3,207.72 is: 4,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 15,904.44 = 3,207.72 : x
  2. Step 2: Convert to fraction form
    10,605/15,904.44 = 3,207.72/x
  3. Step 3: Cross multiply
    10,605x = 15,904.44 × 3,207.72
  4. Step 4: Simplify right side
    10,605x = 51,016,990.28
  5. Step 5: Solve for x
    x = 51,016,990.28/10,605
  6. Step 6: Final answer
    x = 4,810.65

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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.