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Finding the Fourth Proportional to 5,116.70, 7,675.05 and 1,829.90

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Solution

The fourth proportional to 5,116.70, 7,675.05 and 1,829.90 is: 2,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.70 : 7,675.05 = 1,829.90 : x
  2. Step 2: Convert to fraction form
    5,116.70/7,675.05 = 1,829.90/x
  3. Step 3: Cross multiply
    5,116.70x = 7,675.05 × 1,829.90
  4. Step 4: Simplify right side
    5,116.70x = 14,044,574.00
  5. Step 5: Solve for x
    x = 14,044,574.00/5,116.70
  6. Step 6: Final answer
    x = 2,744.85

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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.