Home / 10,458.08-15,694.76-8,000

Finding the Fourth Proportional to 10,458.08, 15,694.76 and 8,000

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Solution

The fourth proportional to 10,458.08, 15,694.76 and 8,000 is: 12,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.08 : 15,694.76 = 8,000 : x
  2. Step 2: Convert to fraction form
    10,458.08/15,694.76 = 8,000/x
  3. Step 3: Cross multiply
    10,458.08x = 15,694.76 × 8,000
  4. Step 4: Simplify right side
    10,458.08x = 125,558,080
  5. Step 5: Solve for x
    x = 125,558,080/10,458.08
  6. Step 6: Final answer
    x = 12,005.84

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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.