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Finding the Fourth Proportional to 6,440.11, 9,659.01 and 2,929.29

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Solution

The fourth proportional to 6,440.11, 9,659.01 and 2,929.29 is: 4,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.11 : 9,659.01 = 2,929.29 : x
  2. Step 2: Convert to fraction form
    6,440.11/9,659.01 = 2,929.29/x
  3. Step 3: Cross multiply
    6,440.11x = 9,659.01 × 2,929.29
  4. Step 4: Simplify right side
    6,440.11x = 28,294,041.40
  5. Step 5: Solve for x
    x = 28,294,041.40/6,440.11
  6. Step 6: Final answer
    x = 4,393.41

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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.