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Finding the Fourth Proportional to 5,877.72, 8,822.52 and 5,188.86

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Solution

The fourth proportional to 5,877.72, 8,822.52 and 5,188.86 is: 7,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.72 : 8,822.52 = 5,188.86 : x
  2. Step 2: Convert to fraction form
    5,877.72/8,822.52 = 5,188.86/x
  3. Step 3: Cross multiply
    5,877.72x = 8,822.52 × 5,188.86
  4. Step 4: Simplify right side
    5,877.72x = 45,778,821.13
  5. Step 5: Solve for x
    x = 45,778,821.13/5,877.72
  6. Step 6: Final answer
    x = 7,788.53

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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.