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Finding the Fourth Proportional to 13,207.70, 19,805.15 and 7,358.10

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Solution

The fourth proportional to 13,207.70, 19,805.15 and 7,358.10 is: 11,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.70 : 19,805.15 = 7,358.10 : x
  2. Step 2: Convert to fraction form
    13,207.70/19,805.15 = 7,358.10/x
  3. Step 3: Cross multiply
    13,207.70x = 19,805.15 × 7,358.10
  4. Step 4: Simplify right side
    13,207.70x = 145,728,274.22
  5. Step 5: Solve for x
    x = 145,728,274.22/13,207.70
  6. Step 6: Final answer
    x = 11,033.58

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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.