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Finding the Fourth Proportional to 9,200.40, 12,851.40 and 9,200.40

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Solution

The fourth proportional to 9,200.40, 12,851.40 and 9,200.40 is: 12,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.40 : 12,851.40 = 9,200.40 : x
  2. Step 2: Convert to fraction form
    9,200.40/12,851.40 = 9,200.40/x
  3. Step 3: Cross multiply
    9,200.40x = 12,851.40 × 9,200.40
  4. Step 4: Simplify right side
    9,200.40x = 118,238,020.56
  5. Step 5: Solve for x
    x = 118,238,020.56/9,200.40
  6. Step 6: Final answer
    x = 12,851.40

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Half scale
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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.