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Finding the Fourth Proportional to 7,624, 11,437.44 and 3,520

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Solution

The fourth proportional to 7,624, 11,437.44 and 3,520 is: 5,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624 : 11,437.44 = 3,520 : x
  2. Step 2: Convert to fraction form
    7,624/11,437.44 = 3,520/x
  3. Step 3: Cross multiply
    7,624x = 11,437.44 × 3,520
  4. Step 4: Simplify right side
    7,624x = 40,259,788.80
  5. Step 5: Solve for x
    x = 40,259,788.80/7,624
  6. Step 6: Final answer
    x = 5,280.66

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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.