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Finding the Fourth Proportional to 10,165.70, 15,220.81 and 7,693.03

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Solution

The fourth proportional to 10,165.70, 15,220.81 and 7,693.03 is: 11,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.70 : 15,220.81 = 7,693.03 : x
  2. Step 2: Convert to fraction form
    10,165.70/15,220.81 = 7,693.03/x
  3. Step 3: Cross multiply
    10,165.70x = 15,220.81 × 7,693.03
  4. Step 4: Simplify right side
    10,165.70x = 117,094,090.98
  5. Step 5: Solve for x
    x = 117,094,090.98/10,165.70
  6. Step 6: Final answer
    x = 11,518.54

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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.