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Finding the Fourth Proportional to 9,398.64, 14,097.96 and 8,313.60

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Solution

The fourth proportional to 9,398.64, 14,097.96 and 8,313.60 is: 12,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.64 : 14,097.96 = 8,313.60 : x
  2. Step 2: Convert to fraction form
    9,398.64/14,097.96 = 8,313.60/x
  3. Step 3: Cross multiply
    9,398.64x = 14,097.96 × 8,313.60
  4. Step 4: Simplify right side
    9,398.64x = 117,204,800.26
  5. Step 5: Solve for x
    x = 117,204,800.26/9,398.64
  6. Step 6: Final answer
    x = 12,470.40

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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.