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Finding the Fourth Proportional to 10,608, 14,639.04 and 6,419.52

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Solution

The fourth proportional to 10,608, 14,639.04 and 6,419.52 is: 8,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608 : 14,639.04 = 6,419.52 : x
  2. Step 2: Convert to fraction form
    10,608/14,639.04 = 6,419.52/x
  3. Step 3: Cross multiply
    10,608x = 14,639.04 × 6,419.52
  4. Step 4: Simplify right side
    10,608x = 93,975,610.06
  5. Step 5: Solve for x
    x = 93,975,610.06/10,608
  6. Step 6: Final answer
    x = 8,858.94

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Why These Related Problems?

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