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Finding the Fourth Proportional to 5,846.45, 8,778.78 and 5,215.86

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Solution

The fourth proportional to 5,846.45, 8,778.78 and 5,215.86 is: 7,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.45 : 8,778.78 = 5,215.86 : x
  2. Step 2: Convert to fraction form
    5,846.45/8,778.78 = 5,215.86/x
  3. Step 3: Cross multiply
    5,846.45x = 8,778.78 × 5,215.86
  4. Step 4: Simplify right side
    5,846.45x = 45,788,887.45
  5. Step 5: Solve for x
    x = 45,788,887.45/5,846.45
  6. Step 6: Final answer
    x = 7,831.92

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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.