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Finding the Fourth Proportional to 15,785.01, 23,661.05 and 6,421.28

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Solution

The fourth proportional to 15,785.01, 23,661.05 and 6,421.28 is: 9,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.01 : 23,661.05 = 6,421.28 : x
  2. Step 2: Convert to fraction form
    15,785.01/23,661.05 = 6,421.28/x
  3. Step 3: Cross multiply
    15,785.01x = 23,661.05 × 6,421.28
  4. Step 4: Simplify right side
    15,785.01x = 151,934,076.73
  5. Step 5: Solve for x
    x = 151,934,076.73/15,785.01
  6. Step 6: Final answer
    x = 9,625.21

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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.