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Finding the Fourth Proportional to 15,072.64, 20,807.04 and 13,048

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Solution

The fourth proportional to 15,072.64, 20,807.04 and 13,048 is: 18,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.64 : 20,807.04 = 13,048 : x
  2. Step 2: Convert to fraction form
    15,072.64/20,807.04 = 13,048/x
  3. Step 3: Cross multiply
    15,072.64x = 20,807.04 × 13,048
  4. Step 4: Simplify right side
    15,072.64x = 271,490,257.92
  5. Step 5: Solve for x
    x = 271,490,257.92/15,072.64
  6. Step 6: Final answer
    x = 18,012.12

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Why These Related Problems?

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