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Finding the Fourth Proportional to 9,731.79, 13,401.59 and 8,455.08

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Solution

The fourth proportional to 9,731.79, 13,401.59 and 8,455.08 is: 11,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.79 : 13,401.59 = 8,455.08 : x
  2. Step 2: Convert to fraction form
    9,731.79/13,401.59 = 8,455.08/x
  3. Step 3: Cross multiply
    9,731.79x = 13,401.59 × 8,455.08
  4. Step 4: Simplify right side
    9,731.79x = 113,311,473.30
  5. Step 5: Solve for x
    x = 113,311,473.30/9,731.79
  6. Step 6: Final answer
    x = 11,643.44

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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.