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Finding the Fourth Proportional to 14,117, 21,170.11 and 4,754.50

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Solution

The fourth proportional to 14,117, 21,170.11 and 4,754.50 is: 7,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117 : 21,170.11 = 4,754.50 : x
  2. Step 2: Convert to fraction form
    14,117/21,170.11 = 4,754.50/x
  3. Step 3: Cross multiply
    14,117x = 21,170.11 × 4,754.50
  4. Step 4: Simplify right side
    14,117x = 100,653,329.03
  5. Step 5: Solve for x
    x = 100,653,329.03/14,117
  6. Step 6: Final answer
    x = 7,129.94

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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.