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Finding the Fourth Proportional to 7,924.29, 11,875.93 and 4,218.54

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Solution

The fourth proportional to 7,924.29, 11,875.93 and 4,218.54 is: 6,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.29 : 11,875.93 = 4,218.54 : x
  2. Step 2: Convert to fraction form
    7,924.29/11,875.93 = 4,218.54/x
  3. Step 3: Cross multiply
    7,924.29x = 11,875.93 × 4,218.54
  4. Step 4: Simplify right side
    7,924.29x = 50,099,085.74
  5. Step 5: Solve for x
    x = 50,099,085.74/7,924.29
  6. Step 6: Final answer
    x = 6,322.22

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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.