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Finding the Fourth Proportional to 7,577.76, 11,355.12 and 6,792.48

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Solution

The fourth proportional to 7,577.76, 11,355.12 and 6,792.48 is: 10,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.76 : 11,355.12 = 6,792.48 : x
  2. Step 2: Convert to fraction form
    7,577.76/11,355.12 = 6,792.48/x
  3. Step 3: Cross multiply
    7,577.76x = 11,355.12 × 6,792.48
  4. Step 4: Simplify right side
    7,577.76x = 77,129,425.50
  5. Step 5: Solve for x
    x = 77,129,425.50/7,577.76
  6. Step 6: Final answer
    x = 10,178.39

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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.