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Finding the Fourth Proportional to 8,291.88, 12,430.00 and 4,127.95

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Solution

The fourth proportional to 8,291.88, 12,430.00 and 4,127.95 is: 6,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.88 : 12,430.00 = 4,127.95 : x
  2. Step 2: Convert to fraction form
    8,291.88/12,430.00 = 4,127.95/x
  3. Step 3: Cross multiply
    8,291.88x = 12,430.00 × 4,127.95
  4. Step 4: Simplify right side
    8,291.88x = 51,310,346.03
  5. Step 5: Solve for x
    x = 51,310,346.03/8,291.88
  6. Step 6: Final answer
    x = 6,188.03

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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.