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Finding the Fourth Proportional to 10,006.74, 13,808.84 and 5,530.39

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Solution

The fourth proportional to 10,006.74, 13,808.84 and 5,530.39 is: 7,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.74 : 13,808.84 = 5,530.39 : x
  2. Step 2: Convert to fraction form
    10,006.74/13,808.84 = 5,530.39/x
  3. Step 3: Cross multiply
    10,006.74x = 13,808.84 × 5,530.39
  4. Step 4: Simplify right side
    10,006.74x = 76,368,270.65
  5. Step 5: Solve for x
    x = 76,368,270.65/10,006.74
  6. Step 6: Final answer
    x = 7,631.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.