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Finding the Fourth Proportional to 4,340.66, 6,510 and 1,998.42

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Solution

The fourth proportional to 4,340.66, 6,510 and 1,998.42 is: 2,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.66 : 6,510 = 1,998.42 : x
  2. Step 2: Convert to fraction form
    4,340.66/6,510 = 1,998.42/x
  3. Step 3: Cross multiply
    4,340.66x = 6,510 × 1,998.42
  4. Step 4: Simplify right side
    4,340.66x = 13,009,714.20
  5. Step 5: Solve for x
    x = 13,009,714.20/4,340.66
  6. Step 6: Final answer
    x = 2,997.17

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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.