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Finding the Fourth Proportional to 6,411.10, 9,616.65 and 2,028.90

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Solution

The fourth proportional to 6,411.10, 9,616.65 and 2,028.90 is: 3,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.10 : 9,616.65 = 2,028.90 : x
  2. Step 2: Convert to fraction form
    6,411.10/9,616.65 = 2,028.90/x
  3. Step 3: Cross multiply
    6,411.10x = 9,616.65 × 2,028.90
  4. Step 4: Simplify right side
    6,411.10x = 19,511,221.19
  5. Step 5: Solve for x
    x = 19,511,221.19/6,411.10
  6. Step 6: Final answer
    x = 3,043.35

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1.5x scale

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.