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Finding the Fourth Proportional to 6,905.28, 10,291.29 and 6,894.30

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Solution

The fourth proportional to 6,905.28, 10,291.29 and 6,894.30 is: 10,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.28 : 10,291.29 = 6,894.30 : x
  2. Step 2: Convert to fraction form
    6,905.28/10,291.29 = 6,894.30/x
  3. Step 3: Cross multiply
    6,905.28x = 10,291.29 × 6,894.30
  4. Step 4: Simplify right side
    6,905.28x = 70,951,240.65
  5. Step 5: Solve for x
    x = 70,951,240.65/6,905.28
  6. Step 6: Final answer
    x = 10,274.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.