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Finding the Fourth Proportional to 10,209.99, 15,285.77 and 6,917.24

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Solution

The fourth proportional to 10,209.99, 15,285.77 and 6,917.24 is: 10,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.99 : 15,285.77 = 6,917.24 : x
  2. Step 2: Convert to fraction form
    10,209.99/15,285.77 = 6,917.24/x
  3. Step 3: Cross multiply
    10,209.99x = 15,285.77 × 6,917.24
  4. Step 4: Simplify right side
    10,209.99x = 105,735,228.66
  5. Step 5: Solve for x
    x = 105,735,228.66/10,209.99
  6. Step 6: Final answer
    x = 10,356.06

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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.