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Finding the Fourth Proportional to 14,269.87, 19,693 and 7,896.35

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Solution

The fourth proportional to 14,269.87, 19,693 and 7,896.35 is: 10,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.87 : 19,693 = 7,896.35 : x
  2. Step 2: Convert to fraction form
    14,269.87/19,693 = 7,896.35/x
  3. Step 3: Cross multiply
    14,269.87x = 19,693 × 7,896.35
  4. Step 4: Simplify right side
    14,269.87x = 155,502,820.55
  5. Step 5: Solve for x
    x = 155,502,820.55/14,269.87
  6. Step 6: Final answer
    x = 10,897.28

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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.