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Finding the Fourth Proportional to 9,392, 12,973.64 and 8,727.80

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Solution

The fourth proportional to 9,392, 12,973.64 and 8,727.80 is: 12,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392 : 12,973.64 = 8,727.80 : x
  2. Step 2: Convert to fraction form
    9,392/12,973.64 = 8,727.80/x
  3. Step 3: Cross multiply
    9,392x = 12,973.64 × 8,727.80
  4. Step 4: Simplify right side
    9,392x = 113,231,335.19
  5. Step 5: Solve for x
    x = 113,231,335.19/9,392
  6. Step 6: Final answer
    x = 12,056.15

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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.