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Finding the Fourth Proportional to 9,643.50, 14,453.22 and 5,470.80

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Solution

The fourth proportional to 9,643.50, 14,453.22 and 5,470.80 is: 8,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.50 : 14,453.22 = 5,470.80 : x
  2. Step 2: Convert to fraction form
    9,643.50/14,453.22 = 5,470.80/x
  3. Step 3: Cross multiply
    9,643.50x = 14,453.22 × 5,470.80
  4. Step 4: Simplify right side
    9,643.50x = 79,070,675.98
  5. Step 5: Solve for x
    x = 79,070,675.98/9,643.50
  6. Step 6: Final answer
    x = 8,199.38

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1.5x scale

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.