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Finding the Fourth Proportional to 9,401.68, 12,878.66 and 9,298

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Solution

The fourth proportional to 9,401.68, 12,878.66 and 9,298 is: 12,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.68 : 12,878.66 = 9,298 : x
  2. Step 2: Convert to fraction form
    9,401.68/12,878.66 = 9,298/x
  3. Step 3: Cross multiply
    9,401.68x = 12,878.66 × 9,298
  4. Step 4: Simplify right side
    9,401.68x = 119,745,780.68
  5. Step 5: Solve for x
    x = 119,745,780.68/9,401.68
  6. Step 6: Final answer
    x = 12,736.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.