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Finding the Fourth Proportional to 10,052.58, 13,843.32 and 9,410.77

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Solution

The fourth proportional to 10,052.58, 13,843.32 and 9,410.77 is: 12,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.58 : 13,843.32 = 9,410.77 : x
  2. Step 2: Convert to fraction form
    10,052.58/13,843.32 = 9,410.77/x
  3. Step 3: Cross multiply
    10,052.58x = 13,843.32 × 9,410.77
  4. Step 4: Simplify right side
    10,052.58x = 130,276,300.56
  5. Step 5: Solve for x
    x = 130,276,300.56/10,052.58
  6. Step 6: Final answer
    x = 12,959.49

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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.