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Finding the Fourth Proportional to 10,557.15, 15,841.19 and 7,659.37

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Solution

The fourth proportional to 10,557.15, 15,841.19 and 7,659.37 is: 11,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.15 : 15,841.19 = 7,659.37 : x
  2. Step 2: Convert to fraction form
    10,557.15/15,841.19 = 7,659.37/x
  3. Step 3: Cross multiply
    10,557.15x = 15,841.19 × 7,659.37
  4. Step 4: Simplify right side
    10,557.15x = 121,333,535.45
  5. Step 5: Solve for x
    x = 121,333,535.45/10,557.15
  6. Step 6: Final answer
    x = 11,493.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.