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Finding the Fourth Proportional to 9,997.24, 13,768.13 and 9,779.24

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Solution

The fourth proportional to 9,997.24, 13,768.13 and 9,779.24 is: 13,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.24 : 13,768.13 = 9,779.24 : x
  2. Step 2: Convert to fraction form
    9,997.24/13,768.13 = 9,779.24/x
  3. Step 3: Cross multiply
    9,997.24x = 13,768.13 × 9,779.24
  4. Step 4: Simplify right side
    9,997.24x = 134,641,798.73
  5. Step 5: Solve for x
    x = 134,641,798.73/9,997.24
  6. Step 6: Final answer
    x = 13,467.90

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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.