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Finding the Fourth Proportional to 21,570, 32,357.44 and 6,781.04

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Solution

The fourth proportional to 21,570, 32,357.44 and 6,781.04 is: 10,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570 : 32,357.44 = 6,781.04 : x
  2. Step 2: Convert to fraction form
    21,570/32,357.44 = 6,781.04/x
  3. Step 3: Cross multiply
    21,570x = 32,357.44 × 6,781.04
  4. Step 4: Simplify right side
    21,570x = 219,417,094.94
  5. Step 5: Solve for x
    x = 219,417,094.94/21,570
  6. Step 6: Final answer
    x = 10,172.33

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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.