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Finding the Fourth Proportional to 15,456.84, 23,187.12 and 5,459.54

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Solution

The fourth proportional to 15,456.84, 23,187.12 and 5,459.54 is: 8,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.84 : 23,187.12 = 5,459.54 : x
  2. Step 2: Convert to fraction form
    15,456.84/23,187.12 = 5,459.54/x
  3. Step 3: Cross multiply
    15,456.84x = 23,187.12 × 5,459.54
  4. Step 4: Simplify right side
    15,456.84x = 126,590,893.19
  5. Step 5: Solve for x
    x = 126,590,893.19/15,456.84
  6. Step 6: Final answer
    x = 8,189.96

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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.