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Finding the Fourth Proportional to 15,319, 22,979.94 and 5,457.88

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Solution

The fourth proportional to 15,319, 22,979.94 and 5,457.88 is: 8,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319 : 22,979.94 = 5,457.88 : x
  2. Step 2: Convert to fraction form
    15,319/22,979.94 = 5,457.88/x
  3. Step 3: Cross multiply
    15,319x = 22,979.94 × 5,457.88
  4. Step 4: Simplify right side
    15,319x = 125,421,754.93
  5. Step 5: Solve for x
    x = 125,421,754.93/15,319
  6. Step 6: Final answer
    x = 8,187.33

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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.