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Finding the Fourth Proportional to 5,078.64, 7,619.16 and 1,615.89

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Solution

The fourth proportional to 5,078.64, 7,619.16 and 1,615.89 is: 2,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.64 : 7,619.16 = 1,615.89 : x
  2. Step 2: Convert to fraction form
    5,078.64/7,619.16 = 1,615.89/x
  3. Step 3: Cross multiply
    5,078.64x = 7,619.16 × 1,615.89
  4. Step 4: Simplify right side
    5,078.64x = 12,311,724.45
  5. Step 5: Solve for x
    x = 12,311,724.45/5,078.64
  6. Step 6: Final answer
    x = 2,424.22

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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.