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Finding the Fourth Proportional to 20,570.30, 30,834.68 and 8,099.08

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Solution

The fourth proportional to 20,570.30, 30,834.68 and 8,099.08 is: 12,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.30 : 30,834.68 = 8,099.08 : x
  2. Step 2: Convert to fraction form
    20,570.30/30,834.68 = 8,099.08/x
  3. Step 3: Cross multiply
    20,570.30x = 30,834.68 × 8,099.08
  4. Step 4: Simplify right side
    20,570.30x = 249,732,422.51
  5. Step 5: Solve for x
    x = 249,732,422.51/20,570.30
  6. Step 6: Final answer
    x = 12,140.44

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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.