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Finding the Fourth Proportional to 6,505.69, 9,758.54 and 5,215.36

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Solution

The fourth proportional to 6,505.69, 9,758.54 and 5,215.36 is: 7,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.69 : 9,758.54 = 5,215.36 : x
  2. Step 2: Convert to fraction form
    6,505.69/9,758.54 = 5,215.36/x
  3. Step 3: Cross multiply
    6,505.69x = 9,758.54 × 5,215.36
  4. Step 4: Simplify right side
    6,505.69x = 50,894,299.17
  5. Step 5: Solve for x
    x = 50,894,299.17/6,505.69
  6. Step 6: Final answer
    x = 7,823.04

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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.