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Finding the Fourth Proportional to 8,291.79, 12,424.63 and 4,951.86

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Solution

The fourth proportional to 8,291.79, 12,424.63 and 4,951.86 is: 7,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.79 : 12,424.63 = 4,951.86 : x
  2. Step 2: Convert to fraction form
    8,291.79/12,424.63 = 4,951.86/x
  3. Step 3: Cross multiply
    8,291.79x = 12,424.63 × 4,951.86
  4. Step 4: Simplify right side
    8,291.79x = 61,525,028.31
  5. Step 5: Solve for x
    x = 61,525,028.31/8,291.79
  6. Step 6: Final answer
    x = 7,419.99

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1.5x scale

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.