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Finding the Fourth Proportional to 21,034.84, 31,552.28 and 7,183.84

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Solution

The fourth proportional to 21,034.84, 31,552.28 and 7,183.84 is: 10,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.84 : 31,552.28 = 7,183.84 : x
  2. Step 2: Convert to fraction form
    21,034.84/31,552.28 = 7,183.84/x
  3. Step 3: Cross multiply
    21,034.84x = 31,552.28 × 7,183.84
  4. Step 4: Simplify right side
    21,034.84x = 226,666,531.16
  5. Step 5: Solve for x
    x = 226,666,531.16/21,034.84
  6. Step 6: Final answer
    x = 10,775.77

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1.5x scale

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.