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Finding the Fourth Proportional to 9,919.82, 14,840.85 and 7,151.78

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Solution

The fourth proportional to 9,919.82, 14,840.85 and 7,151.78 is: 10,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.82 : 14,840.85 = 7,151.78 : x
  2. Step 2: Convert to fraction form
    9,919.82/14,840.85 = 7,151.78/x
  3. Step 3: Cross multiply
    9,919.82x = 14,840.85 × 7,151.78
  4. Step 4: Simplify right side
    9,919.82x = 106,138,494.21
  5. Step 5: Solve for x
    x = 106,138,494.21/9,919.82
  6. Step 6: Final answer
    x = 10,699.64

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1.5x scale

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.