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Finding the Fourth Proportional to 9,577.50, 13,216.82 and 5,385.76

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Solution

The fourth proportional to 9,577.50, 13,216.82 and 5,385.76 is: 7,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.50 : 13,216.82 = 5,385.76 : x
  2. Step 2: Convert to fraction form
    9,577.50/13,216.82 = 5,385.76/x
  3. Step 3: Cross multiply
    9,577.50x = 13,216.82 × 5,385.76
  4. Step 4: Simplify right side
    9,577.50x = 71,182,620.48
  5. Step 5: Solve for x
    x = 71,182,620.48/9,577.50
  6. Step 6: Final answer
    x = 7,432.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.