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Finding the Fourth Proportional to 4,587, 6,880.50 and 2,535

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Solution

The fourth proportional to 4,587, 6,880.50 and 2,535 is: 3,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 6,880.50 = 2,535 : x
  2. Step 2: Convert to fraction form
    4,587/6,880.50 = 2,535/x
  3. Step 3: Cross multiply
    4,587x = 6,880.50 × 2,535
  4. Step 4: Simplify right side
    4,587x = 17,442,067.50
  5. Step 5: Solve for x
    x = 17,442,067.50/4,587
  6. Step 6: Final answer
    x = 3,802.50

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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.