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Finding the Fourth Proportional to 20,509.14, 30,768.51 and 6,658.14

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Solution

The fourth proportional to 20,509.14, 30,768.51 and 6,658.14 is: 9,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.14 : 30,768.51 = 6,658.14 : x
  2. Step 2: Convert to fraction form
    20,509.14/30,768.51 = 6,658.14/x
  3. Step 3: Cross multiply
    20,509.14x = 30,768.51 × 6,658.14
  4. Step 4: Simplify right side
    20,509.14x = 204,861,047.17
  5. Step 5: Solve for x
    x = 204,861,047.17/20,509.14
  6. Step 6: Final answer
    x = 9,988.77

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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.