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Finding the Fourth Proportional to 6,429.76, 9,641.36 and 2,964

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Solution

The fourth proportional to 6,429.76, 9,641.36 and 2,964 is: 4,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.76 : 9,641.36 = 2,964 : x
  2. Step 2: Convert to fraction form
    6,429.76/9,641.36 = 2,964/x
  3. Step 3: Cross multiply
    6,429.76x = 9,641.36 × 2,964
  4. Step 4: Simplify right side
    6,429.76x = 28,576,991.04
  5. Step 5: Solve for x
    x = 28,576,991.04/6,429.76
  6. Step 6: Final answer
    x = 4,444.49

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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.