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Finding the Fourth Proportional to 21,078, 31,600.56 and 10,552.20

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Solution

The fourth proportional to 21,078, 31,600.56 and 10,552.20 is: 15,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078 : 31,600.56 = 10,552.20 : x
  2. Step 2: Convert to fraction form
    21,078/31,600.56 = 10,552.20/x
  3. Step 3: Cross multiply
    21,078x = 31,600.56 × 10,552.20
  4. Step 4: Simplify right side
    21,078x = 333,455,429.23
  5. Step 5: Solve for x
    x = 333,455,429.23/21,078
  6. Step 6: Final answer
    x = 15,820.07

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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.