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Finding the Fourth Proportional to 8,505.77, 11,709.24 and 7,011.32

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Solution

The fourth proportional to 8,505.77, 11,709.24 and 7,011.32 is: 9,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.77 : 11,709.24 = 7,011.32 : x
  2. Step 2: Convert to fraction form
    8,505.77/11,709.24 = 7,011.32/x
  3. Step 3: Cross multiply
    8,505.77x = 11,709.24 × 7,011.32
  4. Step 4: Simplify right side
    8,505.77x = 82,097,228.60
  5. Step 5: Solve for x
    x = 82,097,228.60/8,505.77
  6. Step 6: Final answer
    x = 9,651.95

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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.