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Finding the Fourth Proportional to 8,439.74, 11,644.68 and 5,746.08

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Solution

The fourth proportional to 8,439.74, 11,644.68 and 5,746.08 is: 7,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.74 : 11,644.68 = 5,746.08 : x
  2. Step 2: Convert to fraction form
    8,439.74/11,644.68 = 5,746.08/x
  3. Step 3: Cross multiply
    8,439.74x = 11,644.68 × 5,746.08
  4. Step 4: Simplify right side
    8,439.74x = 66,911,262.85
  5. Step 5: Solve for x
    x = 66,911,262.85/8,439.74
  6. Step 6: Final answer
    x = 7,928.12

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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.