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Finding the Fourth Proportional to 13,217.70, 19,807.46 and 7,295.80

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Solution

The fourth proportional to 13,217.70, 19,807.46 and 7,295.80 is: 10,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.70 : 19,807.46 = 7,295.80 : x
  2. Step 2: Convert to fraction form
    13,217.70/19,807.46 = 7,295.80/x
  3. Step 3: Cross multiply
    13,217.70x = 19,807.46 × 7,295.80
  4. Step 4: Simplify right side
    13,217.70x = 144,511,266.67
  5. Step 5: Solve for x
    x = 144,511,266.67/13,217.70
  6. Step 6: Final answer
    x = 10,933.16

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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.