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Finding the Fourth Proportional to 1,686.76, 2,530.20 and 1,551.44

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Solution

The fourth proportional to 1,686.76, 2,530.20 and 1,551.44 is: 2,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.76 : 2,530.20 = 1,551.44 : x
  2. Step 2: Convert to fraction form
    1,686.76/2,530.20 = 1,551.44/x
  3. Step 3: Cross multiply
    1,686.76x = 2,530.20 × 1,551.44
  4. Step 4: Simplify right side
    1,686.76x = 3,925,453.49
  5. Step 5: Solve for x
    x = 3,925,453.49/1,686.76
  6. Step 6: Final answer
    x = 2,327.22

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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.