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Finding the Fourth Proportional to 10,209.45, 15,293.50 and 9,358.95

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Solution

The fourth proportional to 10,209.45, 15,293.50 and 9,358.95 is: 14,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.45 : 15,293.50 = 9,358.95 : x
  2. Step 2: Convert to fraction form
    10,209.45/15,293.50 = 9,358.95/x
  3. Step 3: Cross multiply
    10,209.45x = 15,293.50 × 9,358.95
  4. Step 4: Simplify right side
    10,209.45x = 143,131,101.83
  5. Step 5: Solve for x
    x = 143,131,101.83/10,209.45
  6. Step 6: Final answer
    x = 14,019.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.