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Finding the Fourth Proportional to 17,630, 26,449.40 and 5,318

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Solution

The fourth proportional to 17,630, 26,449.40 and 5,318 is: 7,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630 : 26,449.40 = 5,318 : x
  2. Step 2: Convert to fraction form
    17,630/26,449.40 = 5,318/x
  3. Step 3: Cross multiply
    17,630x = 26,449.40 × 5,318
  4. Step 4: Simplify right side
    17,630x = 140,657,909.20
  5. Step 5: Solve for x
    x = 140,657,909.20/17,630
  6. Step 6: Final answer
    x = 7,978.33

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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.