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Finding the Fourth Proportional to 28,008, 42,018.76 and 8,017.80

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Solution

The fourth proportional to 28,008, 42,018.76 and 8,017.80 is: 12,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,008 : 42,018.76 = 8,017.80 : x
  2. Step 2: Convert to fraction form
    28,008/42,018.76 = 8,017.80/x
  3. Step 3: Cross multiply
    28,008x = 42,018.76 × 8,017.80
  4. Step 4: Simplify right side
    28,008x = 336,898,013.93
  5. Step 5: Solve for x
    x = 336,898,013.93/28,008
  6. Step 6: Final answer
    x = 12,028.64

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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.