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Finding the Fourth Proportional to 9,384.15, 12,881.14 and 8,298.12

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Solution

The fourth proportional to 9,384.15, 12,881.14 and 8,298.12 is: 11,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.15 : 12,881.14 = 8,298.12 : x
  2. Step 2: Convert to fraction form
    9,384.15/12,881.14 = 8,298.12/x
  3. Step 3: Cross multiply
    9,384.15x = 12,881.14 × 8,298.12
  4. Step 4: Simplify right side
    9,384.15x = 106,889,213.25
  5. Step 5: Solve for x
    x = 106,889,213.25/9,384.15
  6. Step 6: Final answer
    x = 11,390.40

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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.