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Finding the Fourth Proportional to 15,322.77, 22,972.47 and 7,922.51

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Solution

The fourth proportional to 15,322.77, 22,972.47 and 7,922.51 is: 11,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.77 : 22,972.47 = 7,922.51 : x
  2. Step 2: Convert to fraction form
    15,322.77/22,972.47 = 7,922.51/x
  3. Step 3: Cross multiply
    15,322.77x = 22,972.47 × 7,922.51
  4. Step 4: Simplify right side
    15,322.77x = 181,999,508.44
  5. Step 5: Solve for x
    x = 181,999,508.44/15,322.77
  6. Step 6: Final answer
    x = 11,877.72

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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.