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Finding the Fourth Proportional to 18,989.16, 28,484.19 and 6,509.09

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Solution

The fourth proportional to 18,989.16, 28,484.19 and 6,509.09 is: 9,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,989.16 : 28,484.19 = 6,509.09 : x
  2. Step 2: Convert to fraction form
    18,989.16/28,484.19 = 6,509.09/x
  3. Step 3: Cross multiply
    18,989.16x = 28,484.19 × 6,509.09
  4. Step 4: Simplify right side
    18,989.16x = 185,406,013.87
  5. Step 5: Solve for x
    x = 185,406,013.87/18,989.16
  6. Step 6: Final answer
    x = 9,763.78

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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.