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Finding the Fourth Proportional to 8,002.34, 12,000.80 and 2,807.54

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Solution

The fourth proportional to 8,002.34, 12,000.80 and 2,807.54 is: 4,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.34 : 12,000.80 = 2,807.54 : x
  2. Step 2: Convert to fraction form
    8,002.34/12,000.80 = 2,807.54/x
  3. Step 3: Cross multiply
    8,002.34x = 12,000.80 × 2,807.54
  4. Step 4: Simplify right side
    8,002.34x = 33,692,726.03
  5. Step 5: Solve for x
    x = 33,692,726.03/8,002.34
  6. Step 6: Final answer
    x = 4,210.36

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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.