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Finding the Fourth Proportional to 3,539.84, 5,305.98 and 1,689.80

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Solution

The fourth proportional to 3,539.84, 5,305.98 and 1,689.80 is: 2,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.84 : 5,305.98 = 1,689.80 : x
  2. Step 2: Convert to fraction form
    3,539.84/5,305.98 = 1,689.80/x
  3. Step 3: Cross multiply
    3,539.84x = 5,305.98 × 1,689.80
  4. Step 4: Simplify right side
    3,539.84x = 8,966,045.00
  5. Step 5: Solve for x
    x = 8,966,045.00/3,539.84
  6. Step 6: Final answer
    x = 2,532.90

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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.