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Finding the Fourth Proportional to 7,144.92, 10,720.53 and 2,465.64

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Solution

The fourth proportional to 7,144.92, 10,720.53 and 2,465.64 is: 3,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.92 : 10,720.53 = 2,465.64 : x
  2. Step 2: Convert to fraction form
    7,144.92/10,720.53 = 2,465.64/x
  3. Step 3: Cross multiply
    7,144.92x = 10,720.53 × 2,465.64
  4. Step 4: Simplify right side
    7,144.92x = 26,432,967.59
  5. Step 5: Solve for x
    x = 26,432,967.59/7,144.92
  6. Step 6: Final answer
    x = 3,699.55

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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.