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Finding the Fourth Proportional to 10,422.99, 14,382.48 and 8,303.94

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Solution

The fourth proportional to 10,422.99, 14,382.48 and 8,303.94 is: 11,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.99 : 14,382.48 = 8,303.94 : x
  2. Step 2: Convert to fraction form
    10,422.99/14,382.48 = 8,303.94/x
  3. Step 3: Cross multiply
    10,422.99x = 14,382.48 × 8,303.94
  4. Step 4: Simplify right side
    10,422.99x = 119,431,250.97
  5. Step 5: Solve for x
    x = 119,431,250.97/10,422.99
  6. Step 6: Final answer
    x = 11,458.44

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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.