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Finding the Fourth Proportional to 4,611.54, 6,918.24 and 1,689.78

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Solution

The fourth proportional to 4,611.54, 6,918.24 and 1,689.78 is: 2,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.54 : 6,918.24 = 1,689.78 : x
  2. Step 2: Convert to fraction form
    4,611.54/6,918.24 = 1,689.78/x
  3. Step 3: Cross multiply
    4,611.54x = 6,918.24 × 1,689.78
  4. Step 4: Simplify right side
    4,611.54x = 11,690,303.59
  5. Step 5: Solve for x
    x = 11,690,303.59/4,611.54
  6. Step 6: Final answer
    x = 2,535.01

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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.