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Finding the Fourth Proportional to 10,005.12, 13,807.92 and 5,529.36

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Solution

The fourth proportional to 10,005.12, 13,807.92 and 5,529.36 is: 7,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.12 : 13,807.92 = 5,529.36 : x
  2. Step 2: Convert to fraction form
    10,005.12/13,807.92 = 5,529.36/x
  3. Step 3: Cross multiply
    10,005.12x = 13,807.92 × 5,529.36
  4. Step 4: Simplify right side
    10,005.12x = 76,348,960.53
  5. Step 5: Solve for x
    x = 76,348,960.53/10,005.12
  6. Step 6: Final answer
    x = 7,630.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.