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Finding the Fourth Proportional to 6,389.90, 9,585.30 and 3,617.90

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Solution

The fourth proportional to 6,389.90, 9,585.30 and 3,617.90 is: 5,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.90 : 9,585.30 = 3,617.90 : x
  2. Step 2: Convert to fraction form
    6,389.90/9,585.30 = 3,617.90/x
  3. Step 3: Cross multiply
    6,389.90x = 9,585.30 × 3,617.90
  4. Step 4: Simplify right side
    6,389.90x = 34,678,656.87
  5. Step 5: Solve for x
    x = 34,678,656.87/6,389.90
  6. Step 6: Final answer
    x = 5,427.10

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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.