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Finding the Fourth Proportional to 10,605.90, 15,903.72 and 3,208.98

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Solution

The fourth proportional to 10,605.90, 15,903.72 and 3,208.98 is: 4,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.90 : 15,903.72 = 3,208.98 : x
  2. Step 2: Convert to fraction form
    10,605.90/15,903.72 = 3,208.98/x
  3. Step 3: Cross multiply
    10,605.90x = 15,903.72 × 3,208.98
  4. Step 4: Simplify right side
    10,605.90x = 51,034,719.41
  5. Step 5: Solve for x
    x = 51,034,719.41/10,605.90
  6. Step 6: Final answer
    x = 4,811.92

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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.