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Finding the Fourth Proportional to 10,471.36, 15,702.78 and 5,204.48

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Solution

The fourth proportional to 10,471.36, 15,702.78 and 5,204.48 is: 7,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.36 : 15,702.78 = 5,204.48 : x
  2. Step 2: Convert to fraction form
    10,471.36/15,702.78 = 5,204.48/x
  3. Step 3: Cross multiply
    10,471.36x = 15,702.78 × 5,204.48
  4. Step 4: Simplify right side
    10,471.36x = 81,724,804.45
  5. Step 5: Solve for x
    x = 81,724,804.45/10,471.36
  6. Step 6: Final answer
    x = 7,804.60

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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.