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Finding the Fourth Proportional to 13,870.17, 20,803.03 and 5,103

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Solution

The fourth proportional to 13,870.17, 20,803.03 and 5,103 is: 7,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.17 : 20,803.03 = 5,103 : x
  2. Step 2: Convert to fraction form
    13,870.17/20,803.03 = 5,103/x
  3. Step 3: Cross multiply
    13,870.17x = 20,803.03 × 5,103
  4. Step 4: Simplify right side
    13,870.17x = 106,157,849.33
  5. Step 5: Solve for x
    x = 106,157,849.33/13,870.17
  6. Step 6: Final answer
    x = 7,653.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.