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Finding the Fourth Proportional to 13,193.80, 19,785.90 and 6,617.80

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Solution

The fourth proportional to 13,193.80, 19,785.90 and 6,617.80 is: 9,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.80 : 19,785.90 = 6,617.80 : x
  2. Step 2: Convert to fraction form
    13,193.80/19,785.90 = 6,617.80/x
  3. Step 3: Cross multiply
    13,193.80x = 19,785.90 × 6,617.80
  4. Step 4: Simplify right side
    13,193.80x = 130,939,129.02
  5. Step 5: Solve for x
    x = 130,939,129.02/13,193.80
  6. Step 6: Final answer
    x = 9,924.29

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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.