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Finding the Fourth Proportional to 18,877, 28,315.74 and 6,565

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Solution

The fourth proportional to 18,877, 28,315.74 and 6,565 is: 9,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877 : 28,315.74 = 6,565 : x
  2. Step 2: Convert to fraction form
    18,877/28,315.74 = 6,565/x
  3. Step 3: Cross multiply
    18,877x = 28,315.74 × 6,565
  4. Step 4: Simplify right side
    18,877x = 185,892,833.10
  5. Step 5: Solve for x
    x = 185,892,833.10/18,877
  6. Step 6: Final answer
    x = 9,847.58

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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.