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Finding the Fourth Proportional to 11,392.45, 15,721.04 and 8,407.19

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Solution

The fourth proportional to 11,392.45, 15,721.04 and 8,407.19 is: 11,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.45 : 15,721.04 = 8,407.19 : x
  2. Step 2: Convert to fraction form
    11,392.45/15,721.04 = 8,407.19/x
  3. Step 3: Cross multiply
    11,392.45x = 15,721.04 × 8,407.19
  4. Step 4: Simplify right side
    11,392.45x = 132,169,830.60
  5. Step 5: Solve for x
    x = 132,169,830.60/11,392.45
  6. Step 6: Final answer
    x = 11,601.53

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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.