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Finding the Fourth Proportional to 10,424.81, 15,638.84 and 3,497.69

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Solution

The fourth proportional to 10,424.81, 15,638.84 and 3,497.69 is: 5,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.81 : 15,638.84 = 3,497.69 : x
  2. Step 2: Convert to fraction form
    10,424.81/15,638.84 = 3,497.69/x
  3. Step 3: Cross multiply
    10,424.81x = 15,638.84 × 3,497.69
  4. Step 4: Simplify right side
    10,424.81x = 54,699,814.28
  5. Step 5: Solve for x
    x = 54,699,814.28/10,424.81
  6. Step 6: Final answer
    x = 5,247.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.