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Finding the Fourth Proportional to 15,261.81, 22,874.23 and 6,478.28

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Solution

The fourth proportional to 15,261.81, 22,874.23 and 6,478.28 is: 9,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261.81 : 22,874.23 = 6,478.28 : x
  2. Step 2: Convert to fraction form
    15,261.81/22,874.23 = 6,478.28/x
  3. Step 3: Cross multiply
    15,261.81x = 22,874.23 × 6,478.28
  4. Step 4: Simplify right side
    15,261.81x = 148,185,666.72
  5. Step 5: Solve for x
    x = 148,185,666.72/15,261.81
  6. Step 6: Final answer
    x = 9,709.57

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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.