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Finding the Fourth Proportional to 6,429.76, 8,878.10 and 4,935.31

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Solution

The fourth proportional to 6,429.76, 8,878.10 and 4,935.31 is: 6,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.76 : 8,878.10 = 4,935.31 : x
  2. Step 2: Convert to fraction form
    6,429.76/8,878.10 = 4,935.31/x
  3. Step 3: Cross multiply
    6,429.76x = 8,878.10 × 4,935.31
  4. Step 4: Simplify right side
    6,429.76x = 43,816,106.64
  5. Step 5: Solve for x
    x = 43,816,106.64/6,429.76
  6. Step 6: Final answer
    x = 6,814.58

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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.