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Finding the Fourth Proportional to 5,199.66, 7,170.12 and 3,429

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Solution

The fourth proportional to 5,199.66, 7,170.12 and 3,429 is: 4,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.66 : 7,170.12 = 3,429 : x
  2. Step 2: Convert to fraction form
    5,199.66/7,170.12 = 3,429/x
  3. Step 3: Cross multiply
    5,199.66x = 7,170.12 × 3,429
  4. Step 4: Simplify right side
    5,199.66x = 24,586,341.48
  5. Step 5: Solve for x
    x = 24,586,341.48/5,199.66
  6. Step 6: Final answer
    x = 4,728.45

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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.