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Finding the Fourth Proportional to 10,214.78, 15,323.61 and 3,639.02

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Solution

The fourth proportional to 10,214.78, 15,323.61 and 3,639.02 is: 5,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.78 : 15,323.61 = 3,639.02 : x
  2. Step 2: Convert to fraction form
    10,214.78/15,323.61 = 3,639.02/x
  3. Step 3: Cross multiply
    10,214.78x = 15,323.61 × 3,639.02
  4. Step 4: Simplify right side
    10,214.78x = 55,762,923.26
  5. Step 5: Solve for x
    x = 55,762,923.26/10,214.78
  6. Step 6: Final answer
    x = 5,459.04

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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.