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Finding the Fourth Proportional to 7,416, 10,234.40 and 4,104

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Solution

The fourth proportional to 7,416, 10,234.40 and 4,104 is: 5,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 10,234.40 = 4,104 : x
  2. Step 2: Convert to fraction form
    7,416/10,234.40 = 4,104/x
  3. Step 3: Cross multiply
    7,416x = 10,234.40 × 4,104
  4. Step 4: Simplify right side
    7,416x = 42,001,977.60
  5. Step 5: Solve for x
    x = 42,001,977.60/7,416
  6. Step 6: Final answer
    x = 5,663.70

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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.