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Finding the Fourth Proportional to 1,686.76, 2,518.01 and 1,468

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Solution

The fourth proportional to 1,686.76, 2,518.01 and 1,468 is: 2,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.76 : 2,518.01 = 1,468 : x
  2. Step 2: Convert to fraction form
    1,686.76/2,518.01 = 1,468/x
  3. Step 3: Cross multiply
    1,686.76x = 2,518.01 × 1,468
  4. Step 4: Simplify right side
    1,686.76x = 3,696,438.68
  5. Step 5: Solve for x
    x = 3,696,438.68/1,686.76
  6. Step 6: Final answer
    x = 2,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.