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Finding the Fourth Proportional to 25,318, 37,979.16 and 6,850

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Solution

The fourth proportional to 25,318, 37,979.16 and 6,850 is: 10,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318 : 37,979.16 = 6,850 : x
  2. Step 2: Convert to fraction form
    25,318/37,979.16 = 6,850/x
  3. Step 3: Cross multiply
    25,318x = 37,979.16 × 6,850
  4. Step 4: Simplify right side
    25,318x = 260,157,246.00
  5. Step 5: Solve for x
    x = 260,157,246.00/25,318
  6. Step 6: Final answer
    x = 10,275.58

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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.