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Finding the Fourth Proportional to 8,277.20, 11,419.08 and 5,477.84

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Solution

The fourth proportional to 8,277.20, 11,419.08 and 5,477.84 is: 7,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.20 : 11,419.08 = 5,477.84 : x
  2. Step 2: Convert to fraction form
    8,277.20/11,419.08 = 5,477.84/x
  3. Step 3: Cross multiply
    8,277.20x = 11,419.08 × 5,477.84
  4. Step 4: Simplify right side
    8,277.20x = 62,551,893.19
  5. Step 5: Solve for x
    x = 62,551,893.19/8,277.20
  6. Step 6: Final answer
    x = 7,557.13

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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.