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Finding the Fourth Proportional to 5,102.91, 7,038.18 and 3,426.21

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Solution

The fourth proportional to 5,102.91, 7,038.18 and 3,426.21 is: 4,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.91 : 7,038.18 = 3,426.21 : x
  2. Step 2: Convert to fraction form
    5,102.91/7,038.18 = 3,426.21/x
  3. Step 3: Cross multiply
    5,102.91x = 7,038.18 × 3,426.21
  4. Step 4: Simplify right side
    5,102.91x = 24,114,282.70
  5. Step 5: Solve for x
    x = 24,114,282.70/5,102.91
  6. Step 6: Final answer
    x = 4,725.59

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