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Finding the Fourth Proportional to 6,856, 10,297.80 and 4,088.08

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Solution

The fourth proportional to 6,856, 10,297.80 and 4,088.08 is: 6,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856 : 10,297.80 = 4,088.08 : x
  2. Step 2: Convert to fraction form
    6,856/10,297.80 = 4,088.08/x
  3. Step 3: Cross multiply
    6,856x = 10,297.80 × 4,088.08
  4. Step 4: Simplify right side
    6,856x = 42,098,230.22
  5. Step 5: Solve for x
    x = 42,098,230.22/6,856
  6. Step 6: Final answer
    x = 6,140.35

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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.