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Finding the Fourth Proportional to 9,903.78, 14,855.67 and 2,508.81

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Solution

The fourth proportional to 9,903.78, 14,855.67 and 2,508.81 is: 3,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.78 : 14,855.67 = 2,508.81 : x
  2. Step 2: Convert to fraction form
    9,903.78/14,855.67 = 2,508.81/x
  3. Step 3: Cross multiply
    9,903.78x = 14,855.67 × 2,508.81
  4. Step 4: Simplify right side
    9,903.78x = 37,270,100.81
  5. Step 5: Solve for x
    x = 37,270,100.81/9,903.78
  6. Step 6: Final answer
    x = 3,763.22

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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.