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Finding the Fourth Proportional to 6,447.59, 9,670.53 and 2,933.81

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Solution

The fourth proportional to 6,447.59, 9,670.53 and 2,933.81 is: 4,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.59 : 9,670.53 = 2,933.81 : x
  2. Step 2: Convert to fraction form
    6,447.59/9,670.53 = 2,933.81/x
  3. Step 3: Cross multiply
    6,447.59x = 9,670.53 × 2,933.81
  4. Step 4: Simplify right side
    6,447.59x = 28,371,462.31
  5. Step 5: Solve for x
    x = 28,371,462.31/6,447.59
  6. Step 6: Final answer
    x = 4,400.32

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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.