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Finding the Fourth Proportional to 10,405, 15,607.50 and 3,479.68

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Solution

The fourth proportional to 10,405, 15,607.50 and 3,479.68 is: 5,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405 : 15,607.50 = 3,479.68 : x
  2. Step 2: Convert to fraction form
    10,405/15,607.50 = 3,479.68/x
  3. Step 3: Cross multiply
    10,405x = 15,607.50 × 3,479.68
  4. Step 4: Simplify right side
    10,405x = 54,309,105.60
  5. Step 5: Solve for x
    x = 54,309,105.60/10,405
  6. Step 6: Final answer
    x = 5,219.52

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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.