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Finding the Fourth Proportional to 20,176.86, 30,265.28 and 7,020

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Solution

The fourth proportional to 20,176.86, 30,265.28 and 7,020 is: 10,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.86 : 30,265.28 = 7,020 : x
  2. Step 2: Convert to fraction form
    20,176.86/30,265.28 = 7,020/x
  3. Step 3: Cross multiply
    20,176.86x = 30,265.28 × 7,020
  4. Step 4: Simplify right side
    20,176.86x = 212,462,256.83
  5. Step 5: Solve for x
    x = 212,462,256.83/20,176.86
  6. Step 6: Final answer
    x = 10,529.99

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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.