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Finding the Fourth Proportional to 10,534.87, 15,768.02 and 7,760.45

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Solution

The fourth proportional to 10,534.87, 15,768.02 and 7,760.45 is: 11,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.87 : 15,768.02 = 7,760.45 : x
  2. Step 2: Convert to fraction form
    10,534.87/15,768.02 = 7,760.45/x
  3. Step 3: Cross multiply
    10,534.87x = 15,768.02 × 7,760.45
  4. Step 4: Simplify right side
    10,534.87x = 122,366,892.01
  5. Step 5: Solve for x
    x = 122,366,892.01/10,534.87
  6. Step 6: Final answer
    x = 11,615.42

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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.