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Finding the Fourth Proportional to 15,129.66, 22,715.55 and 7,739.22

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Solution

The fourth proportional to 15,129.66, 22,715.55 and 7,739.22 is: 11,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.66 : 22,715.55 = 7,739.22 : x
  2. Step 2: Convert to fraction form
    15,129.66/22,715.55 = 7,739.22/x
  3. Step 3: Cross multiply
    15,129.66x = 22,715.55 × 7,739.22
  4. Step 4: Simplify right side
    15,129.66x = 175,800,638.87
  5. Step 5: Solve for x
    x = 175,800,638.87/15,129.66
  6. Step 6: Final answer
    x = 11,619.60

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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.