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Finding the Fourth Proportional to 5,603, 8,406.96 and 2,140.28

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Solution

The fourth proportional to 5,603, 8,406.96 and 2,140.28 is: 3,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603 : 8,406.96 = 2,140.28 : x
  2. Step 2: Convert to fraction form
    5,603/8,406.96 = 2,140.28/x
  3. Step 3: Cross multiply
    5,603x = 8,406.96 × 2,140.28
  4. Step 4: Simplify right side
    5,603x = 17,993,248.35
  5. Step 5: Solve for x
    x = 17,993,248.35/5,603
  6. Step 6: Final answer
    x = 3,211.36

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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.