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Finding the Fourth Proportional to 7,709.49, 11,496.53 and 7,639.34

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Solution

The fourth proportional to 7,709.49, 11,496.53 and 7,639.34 is: 11,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.49 : 11,496.53 = 7,639.34 : x
  2. Step 2: Convert to fraction form
    7,709.49/11,496.53 = 7,639.34/x
  3. Step 3: Cross multiply
    7,709.49x = 11,496.53 × 7,639.34
  4. Step 4: Simplify right side
    7,709.49x = 87,825,805.81
  5. Step 5: Solve for x
    x = 87,825,805.81/7,709.49
  6. Step 6: Final answer
    x = 11,391.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.