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Finding the Fourth Proportional to 8,486.16, 11,712.77 and 4,949.90

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Solution

The fourth proportional to 8,486.16, 11,712.77 and 4,949.90 is: 6,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.16 : 11,712.77 = 4,949.90 : x
  2. Step 2: Convert to fraction form
    8,486.16/11,712.77 = 4,949.90/x
  3. Step 3: Cross multiply
    8,486.16x = 11,712.77 × 4,949.90
  4. Step 4: Simplify right side
    8,486.16x = 57,977,040.22
  5. Step 5: Solve for x
    x = 57,977,040.22/8,486.16
  6. Step 6: Final answer
    x = 6,831.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.