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Finding the Fourth Proportional to 9,917.83, 13,682.28 and 6,139.99

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Solution

The fourth proportional to 9,917.83, 13,682.28 and 6,139.99 is: 8,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.83 : 13,682.28 = 6,139.99 : x
  2. Step 2: Convert to fraction form
    9,917.83/13,682.28 = 6,139.99/x
  3. Step 3: Cross multiply
    9,917.83x = 13,682.28 × 6,139.99
  4. Step 4: Simplify right side
    9,917.83x = 84,009,062.38
  5. Step 5: Solve for x
    x = 84,009,062.38/9,917.83
  6. Step 6: Final answer
    x = 8,470.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.