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Finding the Fourth Proportional to 27,177.58, 40,763.64 and 7,458.12

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Solution

The fourth proportional to 27,177.58, 40,763.64 and 7,458.12 is: 11,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.58 : 40,763.64 = 7,458.12 : x
  2. Step 2: Convert to fraction form
    27,177.58/40,763.64 = 7,458.12/x
  3. Step 3: Cross multiply
    27,177.58x = 40,763.64 × 7,458.12
  4. Step 4: Simplify right side
    27,177.58x = 304,020,118.76
  5. Step 5: Solve for x
    x = 304,020,118.76/27,177.58
  6. Step 6: Final answer
    x = 11,186.43

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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.