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Finding the Fourth Proportional to 7,182.83, 9,917.12 and 6,424.24

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Solution

The fourth proportional to 7,182.83, 9,917.12 and 6,424.24 is: 8,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.83 : 9,917.12 = 6,424.24 : x
  2. Step 2: Convert to fraction form
    7,182.83/9,917.12 = 6,424.24/x
  3. Step 3: Cross multiply
    7,182.83x = 9,917.12 × 6,424.24
  4. Step 4: Simplify right side
    7,182.83x = 63,709,958.99
  5. Step 5: Solve for x
    x = 63,709,958.99/7,182.83
  6. Step 6: Final answer
    x = 8,869.76

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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.