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Finding the Fourth Proportional to 5,368.96, 7,401.90 and 3,689.74

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Solution

The fourth proportional to 5,368.96, 7,401.90 and 3,689.74 is: 5,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.96 : 7,401.90 = 3,689.74 : x
  2. Step 2: Convert to fraction form
    5,368.96/7,401.90 = 3,689.74/x
  3. Step 3: Cross multiply
    5,368.96x = 7,401.90 × 3,689.74
  4. Step 4: Simplify right side
    5,368.96x = 27,311,086.51
  5. Step 5: Solve for x
    x = 27,311,086.51/5,368.96
  6. Step 6: Final answer
    x = 5,086.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.