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Finding the Fourth Proportional to 8,683.65, 11,978.46 and 5,491.08

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Solution

The fourth proportional to 8,683.65, 11,978.46 and 5,491.08 is: 7,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.65 : 11,978.46 = 5,491.08 : x
  2. Step 2: Convert to fraction form
    8,683.65/11,978.46 = 5,491.08/x
  3. Step 3: Cross multiply
    8,683.65x = 11,978.46 × 5,491.08
  4. Step 4: Simplify right side
    8,683.65x = 65,774,682.14
  5. Step 5: Solve for x
    x = 65,774,682.14/8,683.65
  6. Step 6: Final answer
    x = 7,574.54

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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.