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Finding the Fourth Proportional to 10,450.68, 15,678.18 and 3,525

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Solution

The fourth proportional to 10,450.68, 15,678.18 and 3,525 is: 5,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.68 : 15,678.18 = 3,525 : x
  2. Step 2: Convert to fraction form
    10,450.68/15,678.18 = 3,525/x
  3. Step 3: Cross multiply
    10,450.68x = 15,678.18 × 3,525
  4. Step 4: Simplify right side
    10,450.68x = 55,265,584.50
  5. Step 5: Solve for x
    x = 55,265,584.50/10,450.68
  6. Step 6: Final answer
    x = 5,288.23

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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.