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Finding the Fourth Proportional to 5,298, 7,311.24 and 3,435

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Solution

The fourth proportional to 5,298, 7,311.24 and 3,435 is: 4,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 7,311.24 = 3,435 : x
  2. Step 2: Convert to fraction form
    5,298/7,311.24 = 3,435/x
  3. Step 3: Cross multiply
    5,298x = 7,311.24 × 3,435
  4. Step 4: Simplify right side
    5,298x = 25,114,109.40
  5. Step 5: Solve for x
    x = 25,114,109.40/5,298
  6. Step 6: Final answer
    x = 4,740.30

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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.