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Finding the Fourth Proportional to 2,087.88, 2,880 and 1,615.02

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Solution

The fourth proportional to 2,087.88, 2,880 and 1,615.02 is: 2,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.88 : 2,880 = 1,615.02 : x
  2. Step 2: Convert to fraction form
    2,087.88/2,880 = 1,615.02/x
  3. Step 3: Cross multiply
    2,087.88x = 2,880 × 1,615.02
  4. Step 4: Simplify right side
    2,087.88x = 4,651,257.60
  5. Step 5: Solve for x
    x = 4,651,257.60/2,087.88
  6. Step 6: Final answer
    x = 2,227.74

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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.