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Finding the Fourth Proportional to 3,763.67, 5,646.21 and 1,683.76

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Solution

The fourth proportional to 3,763.67, 5,646.21 and 1,683.76 is: 2,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.67 : 5,646.21 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    3,763.67/5,646.21 = 1,683.76/x
  3. Step 3: Cross multiply
    3,763.67x = 5,646.21 × 1,683.76
  4. Step 4: Simplify right side
    3,763.67x = 9,506,862.55
  5. Step 5: Solve for x
    x = 9,506,862.55/3,763.67
  6. Step 6: Final answer
    x = 2,525.96

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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.