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Finding the Fourth Proportional to 10,405.32, 15,607.98 and 3,829.08

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Solution

The fourth proportional to 10,405.32, 15,607.98 and 3,829.08 is: 5,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.32 : 15,607.98 = 3,829.08 : x
  2. Step 2: Convert to fraction form
    10,405.32/15,607.98 = 3,829.08/x
  3. Step 3: Cross multiply
    10,405.32x = 15,607.98 × 3,829.08
  4. Step 4: Simplify right side
    10,405.32x = 59,764,204.06
  5. Step 5: Solve for x
    x = 59,764,204.06/10,405.32
  6. Step 6: Final answer
    x = 5,743.62

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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.