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Finding the Fourth Proportional to 8,649.93, 12,978.99 and 5,146.86

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Solution

The fourth proportional to 8,649.93, 12,978.99 and 5,146.86 is: 7,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.93 : 12,978.99 = 5,146.86 : x
  2. Step 2: Convert to fraction form
    8,649.93/12,978.99 = 5,146.86/x
  3. Step 3: Cross multiply
    8,649.93x = 12,978.99 × 5,146.86
  4. Step 4: Simplify right side
    8,649.93x = 66,801,018.74
  5. Step 5: Solve for x
    x = 66,801,018.74/8,649.93
  6. Step 6: Final answer
    x = 7,722.72

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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.