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Finding the Fourth Proportional to 9,980.40, 13,774.24 and 8,298.92

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Solution

The fourth proportional to 9,980.40, 13,774.24 and 8,298.92 is: 11,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.40 : 13,774.24 = 8,298.92 : x
  2. Step 2: Convert to fraction form
    9,980.40/13,774.24 = 8,298.92/x
  3. Step 3: Cross multiply
    9,980.40x = 13,774.24 × 8,298.92
  4. Step 4: Simplify right side
    9,980.40x = 114,311,315.82
  5. Step 5: Solve for x
    x = 114,311,315.82/9,980.40
  6. Step 6: Final answer
    x = 11,453.58

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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.