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Finding the Fourth Proportional to 8,560.56, 11,810.06 and 5,202.83

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Solution

The fourth proportional to 8,560.56, 11,810.06 and 5,202.83 is: 7,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.56 : 11,810.06 = 5,202.83 : x
  2. Step 2: Convert to fraction form
    8,560.56/11,810.06 = 5,202.83/x
  3. Step 3: Cross multiply
    8,560.56x = 11,810.06 × 5,202.83
  4. Step 4: Simplify right side
    8,560.56x = 61,445,737.98
  5. Step 5: Solve for x
    x = 61,445,737.98/8,560.56
  6. Step 6: Final answer
    x = 7,177.77

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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.