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Finding the Fourth Proportional to 12,557.51, 18,842.39 and 5,164.19

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Solution

The fourth proportional to 12,557.51, 18,842.39 and 5,164.19 is: 7,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.51 : 18,842.39 = 5,164.19 : x
  2. Step 2: Convert to fraction form
    12,557.51/18,842.39 = 5,164.19/x
  3. Step 3: Cross multiply
    12,557.51x = 18,842.39 × 5,164.19
  4. Step 4: Simplify right side
    12,557.51x = 97,305,682.01
  5. Step 5: Solve for x
    x = 97,305,682.01/12,557.51
  6. Step 6: Final answer
    x = 7,748.80

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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.