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Finding the Fourth Proportional to 10,422.68, 15,619.97 and 6,723

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Solution

The fourth proportional to 10,422.68, 15,619.97 and 6,723 is: 10,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.68 : 15,619.97 = 6,723 : x
  2. Step 2: Convert to fraction form
    10,422.68/15,619.97 = 6,723/x
  3. Step 3: Cross multiply
    10,422.68x = 15,619.97 × 6,723
  4. Step 4: Simplify right side
    10,422.68x = 105,013,075.12
  5. Step 5: Solve for x
    x = 105,013,075.12/10,422.68
  6. Step 6: Final answer
    x = 10,075.44

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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.