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Finding the Fourth Proportional to 9,204.40, 12,857 and 9,204.40

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Solution

The fourth proportional to 9,204.40, 12,857 and 9,204.40 is: 12,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.40 : 12,857 = 9,204.40 : x
  2. Step 2: Convert to fraction form
    9,204.40/12,857 = 9,204.40/x
  3. Step 3: Cross multiply
    9,204.40x = 12,857 × 9,204.40
  4. Step 4: Simplify right side
    9,204.40x = 118,340,970.80
  5. Step 5: Solve for x
    x = 118,340,970.80/9,204.40
  6. Step 6: Final answer
    x = 12,857

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.