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Finding the Fourth Proportional to 3,790.84, 5,686.20 and 1,325.64

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Solution

The fourth proportional to 3,790.84, 5,686.20 and 1,325.64 is: 1,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.84 : 5,686.20 = 1,325.64 : x
  2. Step 2: Convert to fraction form
    3,790.84/5,686.20 = 1,325.64/x
  3. Step 3: Cross multiply
    3,790.84x = 5,686.20 × 1,325.64
  4. Step 4: Simplify right side
    3,790.84x = 7,537,854.17
  5. Step 5: Solve for x
    x = 7,537,854.17/3,790.84
  6. Step 6: Final answer
    x = 1,988.44

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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.