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Finding the Fourth Proportional to 10,464.50, 15,696.76 and 3,539

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Solution

The fourth proportional to 10,464.50, 15,696.76 and 3,539 is: 5,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.50 : 15,696.76 = 3,539 : x
  2. Step 2: Convert to fraction form
    10,464.50/15,696.76 = 3,539/x
  3. Step 3: Cross multiply
    10,464.50x = 15,696.76 × 3,539
  4. Step 4: Simplify right side
    10,464.50x = 55,550,833.64
  5. Step 5: Solve for x
    x = 55,550,833.64/10,464.50
  6. Step 6: Final answer
    x = 5,308.50

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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.