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Finding the Fourth Proportional to 7,478, 10,319.68 and 4,166

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Solution

The fourth proportional to 7,478, 10,319.68 and 4,166 is: 5,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478 : 10,319.68 = 4,166 : x
  2. Step 2: Convert to fraction form
    7,478/10,319.68 = 4,166/x
  3. Step 3: Cross multiply
    7,478x = 10,319.68 × 4,166
  4. Step 4: Simplify right side
    7,478x = 42,991,786.88
  5. Step 5: Solve for x
    x = 42,991,786.88/7,478
  6. Step 6: Final answer
    x = 5,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.