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Finding the Fourth Proportional to 6,315.99, 9,478.98 and 3,542.19

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Solution

The fourth proportional to 6,315.99, 9,478.98 and 3,542.19 is: 5,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.99 : 9,478.98 = 3,542.19 : x
  2. Step 2: Convert to fraction form
    6,315.99/9,478.98 = 3,542.19/x
  3. Step 3: Cross multiply
    6,315.99x = 9,478.98 × 3,542.19
  4. Step 4: Simplify right side
    6,315.99x = 33,576,348.17
  5. Step 5: Solve for x
    x = 33,576,348.17/6,315.99
  6. Step 6: Final answer
    x = 5,316.09

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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.