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Finding the Fourth Proportional to 7,439, 11,159.22 and 2,509.88

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Solution

The fourth proportional to 7,439, 11,159.22 and 2,509.88 is: 3,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439 : 11,159.22 = 2,509.88 : x
  2. Step 2: Convert to fraction form
    7,439/11,159.22 = 2,509.88/x
  3. Step 3: Cross multiply
    7,439x = 11,159.22 × 2,509.88
  4. Step 4: Simplify right side
    7,439x = 28,008,303.09
  5. Step 5: Solve for x
    x = 28,008,303.09/7,439
  6. Step 6: Final answer
    x = 3,765.06

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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.