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Finding the Fourth Proportional to 10,279.71, 14,185.99 and 5,563.99

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Solution

The fourth proportional to 10,279.71, 14,185.99 and 5,563.99 is: 7,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.71 : 14,185.99 = 5,563.99 : x
  2. Step 2: Convert to fraction form
    10,279.71/14,185.99 = 5,563.99/x
  3. Step 3: Cross multiply
    10,279.71x = 14,185.99 × 5,563.99
  4. Step 4: Simplify right side
    10,279.71x = 78,930,706.50
  5. Step 5: Solve for x
    x = 78,930,706.50/10,279.71
  6. Step 6: Final answer
    x = 7,678.30

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1.5x scale

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.