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Finding the Fourth Proportional to 1,677, 2,515.50 and 1,215

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Solution

The fourth proportional to 1,677, 2,515.50 and 1,215 is: 1,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677 : 2,515.50 = 1,215 : x
  2. Step 2: Convert to fraction form
    1,677/2,515.50 = 1,215/x
  3. Step 3: Cross multiply
    1,677x = 2,515.50 × 1,215
  4. Step 4: Simplify right side
    1,677x = 3,056,332.50
  5. Step 5: Solve for x
    x = 3,056,332.50/1,677
  6. Step 6: Final answer
    x = 1,822.50

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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.