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Finding the Fourth Proportional to 4,230.34, 6,344.50 and 1,598.10

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Solution

The fourth proportional to 4,230.34, 6,344.50 and 1,598.10 is: 2,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.34 : 6,344.50 = 1,598.10 : x
  2. Step 2: Convert to fraction form
    4,230.34/6,344.50 = 1,598.10/x
  3. Step 3: Cross multiply
    4,230.34x = 6,344.50 × 1,598.10
  4. Step 4: Simplify right side
    4,230.34x = 10,139,145.45
  5. Step 5: Solve for x
    x = 10,139,145.45/4,230.34
  6. Step 6: Final answer
    x = 2,396.77

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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.