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Finding the Fourth Proportional to 21,710, 32,564.64 and 6,918.72

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Solution

The fourth proportional to 21,710, 32,564.64 and 6,918.72 is: 10,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710 : 32,564.64 = 6,918.72 : x
  2. Step 2: Convert to fraction form
    21,710/32,564.64 = 6,918.72/x
  3. Step 3: Cross multiply
    21,710x = 32,564.64 × 6,918.72
  4. Step 4: Simplify right side
    21,710x = 225,305,626.06
  5. Step 5: Solve for x
    x = 225,305,626.06/21,710
  6. Step 6: Final answer
    x = 10,377.97

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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.