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Finding the Fourth Proportional to 6,499.58, 8,972.40 and 4,144.94

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Solution

The fourth proportional to 6,499.58, 8,972.40 and 4,144.94 is: 5,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.58 : 8,972.40 = 4,144.94 : x
  2. Step 2: Convert to fraction form
    6,499.58/8,972.40 = 4,144.94/x
  3. Step 3: Cross multiply
    6,499.58x = 8,972.40 × 4,144.94
  4. Step 4: Simplify right side
    6,499.58x = 37,190,059.66
  5. Step 5: Solve for x
    x = 37,190,059.66/6,499.58
  6. Step 6: Final answer
    x = 5,721.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.