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Finding the Fourth Proportional to 11,641.70, 16,064.65 and 6,336.40

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Solution

The fourth proportional to 11,641.70, 16,064.65 and 6,336.40 is: 8,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.70 : 16,064.65 = 6,336.40 : x
  2. Step 2: Convert to fraction form
    11,641.70/16,064.65 = 6,336.40/x
  3. Step 3: Cross multiply
    11,641.70x = 16,064.65 × 6,336.40
  4. Step 4: Simplify right side
    11,641.70x = 101,792,048.26
  5. Step 5: Solve for x
    x = 101,792,048.26/11,641.70
  6. Step 6: Final answer
    x = 8,743.74

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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.