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Finding the Fourth Proportional to 6,415.74, 9,619.47 and 2,520.54

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Solution

The fourth proportional to 6,415.74, 9,619.47 and 2,520.54 is: 3,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.74 : 9,619.47 = 2,520.54 : x
  2. Step 2: Convert to fraction form
    6,415.74/9,619.47 = 2,520.54/x
  3. Step 3: Cross multiply
    6,415.74x = 9,619.47 × 2,520.54
  4. Step 4: Simplify right side
    6,415.74x = 24,246,258.91
  5. Step 5: Solve for x
    x = 24,246,258.91/6,415.74
  6. Step 6: Final answer
    x = 3,779.18

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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.