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Finding the Fourth Proportional to 6,429.76, 8,869.28 and 3,944

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Solution

The fourth proportional to 6,429.76, 8,869.28 and 3,944 is: 5,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.76 : 8,869.28 = 3,944 : x
  2. Step 2: Convert to fraction form
    6,429.76/8,869.28 = 3,944/x
  3. Step 3: Cross multiply
    6,429.76x = 8,869.28 × 3,944
  4. Step 4: Simplify right side
    6,429.76x = 34,980,440.32
  5. Step 5: Solve for x
    x = 34,980,440.32/6,429.76
  6. Step 6: Final answer
    x = 5,440.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.