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Finding the Fourth Proportional to 9,710.28, 13,400.28 and 5,518.56

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Solution

The fourth proportional to 9,710.28, 13,400.28 and 5,518.56 is: 7,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.28 : 13,400.28 = 5,518.56 : x
  2. Step 2: Convert to fraction form
    9,710.28/13,400.28 = 5,518.56/x
  3. Step 3: Cross multiply
    9,710.28x = 13,400.28 × 5,518.56
  4. Step 4: Simplify right side
    9,710.28x = 73,950,249.20
  5. Step 5: Solve for x
    x = 73,950,249.20/9,710.28
  6. Step 6: Final answer
    x = 7,615.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.