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Finding the Fourth Proportional to 8,564.96, 11,820.20 and 4,788.15

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Solution

The fourth proportional to 8,564.96, 11,820.20 and 4,788.15 is: 6,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.96 : 11,820.20 = 4,788.15 : x
  2. Step 2: Convert to fraction form
    8,564.96/11,820.20 = 4,788.15/x
  3. Step 3: Cross multiply
    8,564.96x = 11,820.20 × 4,788.15
  4. Step 4: Simplify right side
    8,564.96x = 56,596,825.54
  5. Step 5: Solve for x
    x = 56,596,825.54/8,564.96
  6. Step 6: Final answer
    x = 6,607.95

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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.