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Finding the Fourth Proportional to 5,309.90, 7,964.62 and 1,612.05

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Solution

The fourth proportional to 5,309.90, 7,964.62 and 1,612.05 is: 2,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.90 : 7,964.62 = 1,612.05 : x
  2. Step 2: Convert to fraction form
    5,309.90/7,964.62 = 1,612.05/x
  3. Step 3: Cross multiply
    5,309.90x = 7,964.62 × 1,612.05
  4. Step 4: Simplify right side
    5,309.90x = 12,839,325.85
  5. Step 5: Solve for x
    x = 12,839,325.85/5,309.90
  6. Step 6: Final answer
    x = 2,418.00

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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.