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Finding the Fourth Proportional to 4,689.88, 7,033.78 and 1,402.54

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Solution

The fourth proportional to 4,689.88, 7,033.78 and 1,402.54 is: 2,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.88 : 7,033.78 = 1,402.54 : x
  2. Step 2: Convert to fraction form
    4,689.88/7,033.78 = 1,402.54/x
  3. Step 3: Cross multiply
    4,689.88x = 7,033.78 × 1,402.54
  4. Step 4: Simplify right side
    4,689.88x = 9,865,157.80
  5. Step 5: Solve for x
    x = 9,865,157.80/4,689.88
  6. Step 6: Final answer
    x = 2,103.50

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1.5x scale

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.