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Finding the Fourth Proportional to 10,644.64, 14,693.01 and 6,867.91

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Solution

The fourth proportional to 10,644.64, 14,693.01 and 6,867.91 is: 9,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.64 : 14,693.01 = 6,867.91 : x
  2. Step 2: Convert to fraction form
    10,644.64/14,693.01 = 6,867.91/x
  3. Step 3: Cross multiply
    10,644.64x = 14,693.01 × 6,867.91
  4. Step 4: Simplify right side
    10,644.64x = 100,910,162.50
  5. Step 5: Solve for x
    x = 100,910,162.50/10,644.64
  6. Step 6: Final answer
    x = 9,479.91

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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.