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Finding the Fourth Proportional to 28,282, 39,029.28 and 15,707.68

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Solution

The fourth proportional to 28,282, 39,029.28 and 15,707.68 is: 21,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282 : 39,029.28 = 15,707.68 : x
  2. Step 2: Convert to fraction form
    28,282/39,029.28 = 15,707.68/x
  3. Step 3: Cross multiply
    28,282x = 39,029.28 × 15,707.68
  4. Step 4: Simplify right side
    28,282x = 613,059,440.87
  5. Step 5: Solve for x
    x = 613,059,440.87/28,282
  6. Step 6: Final answer
    x = 21,676.67

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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.