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Finding the Fourth Proportional to 6,305.61, 9,437.61 and 3,490.11

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Solution

The fourth proportional to 6,305.61, 9,437.61 and 3,490.11 is: 5,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.61 : 9,437.61 = 3,490.11 : x
  2. Step 2: Convert to fraction form
    6,305.61/9,437.61 = 3,490.11/x
  3. Step 3: Cross multiply
    6,305.61x = 9,437.61 × 3,490.11
  4. Step 4: Simplify right side
    6,305.61x = 32,938,297.04
  5. Step 5: Solve for x
    x = 32,938,297.04/6,305.61
  6. Step 6: Final answer
    x = 5,223.65

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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.