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Finding the Fourth Proportional to 6,309.30, 9,465.30 and 1,927.20

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Solution

The fourth proportional to 6,309.30, 9,465.30 and 1,927.20 is: 2,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.30 : 9,465.30 = 1,927.20 : x
  2. Step 2: Convert to fraction form
    6,309.30/9,465.30 = 1,927.20/x
  3. Step 3: Cross multiply
    6,309.30x = 9,465.30 × 1,927.20
  4. Step 4: Simplify right side
    6,309.30x = 18,241,526.16
  5. Step 5: Solve for x
    x = 18,241,526.16/6,309.30
  6. Step 6: Final answer
    x = 2,891.21

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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.