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Finding the Fourth Proportional to 19,072, 26,319.36 and 10,691.20

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Solution

The fourth proportional to 19,072, 26,319.36 and 10,691.20 is: 14,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072 : 26,319.36 = 10,691.20 : x
  2. Step 2: Convert to fraction form
    19,072/26,319.36 = 10,691.20/x
  3. Step 3: Cross multiply
    19,072x = 26,319.36 × 10,691.20
  4. Step 4: Simplify right side
    19,072x = 281,385,541.63
  5. Step 5: Solve for x
    x = 281,385,541.63/19,072
  6. Step 6: Final answer
    x = 14,753.86

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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.