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Finding the Fourth Proportional to 9,919.89, 13,690.08 and 7,231.77

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Solution

The fourth proportional to 9,919.89, 13,690.08 and 7,231.77 is: 9,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.89 : 13,690.08 = 7,231.77 : x
  2. Step 2: Convert to fraction form
    9,919.89/13,690.08 = 7,231.77/x
  3. Step 3: Cross multiply
    9,919.89x = 13,690.08 × 7,231.77
  4. Step 4: Simplify right side
    9,919.89x = 99,003,509.84
  5. Step 5: Solve for x
    x = 99,003,509.84/9,919.89
  6. Step 6: Final answer
    x = 9,980.30

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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.