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Finding the Fourth Proportional to 7,115.70, 10,686.35 and 6,885.30

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Solution

The fourth proportional to 7,115.70, 10,686.35 and 6,885.30 is: 10,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.70 : 10,686.35 = 6,885.30 : x
  2. Step 2: Convert to fraction form
    7,115.70/10,686.35 = 6,885.30/x
  3. Step 3: Cross multiply
    7,115.70x = 10,686.35 × 6,885.30
  4. Step 4: Simplify right side
    7,115.70x = 73,578,725.66
  5. Step 5: Solve for x
    x = 73,578,725.66/7,115.70
  6. Step 6: Final answer
    x = 10,340.34

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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.