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Finding the Fourth Proportional to 11,920.32, 16,445.22 and 7,670.58

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Solution

The fourth proportional to 11,920.32, 16,445.22 and 7,670.58 is: 10,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.32 : 16,445.22 = 7,670.58 : x
  2. Step 2: Convert to fraction form
    11,920.32/16,445.22 = 7,670.58/x
  3. Step 3: Cross multiply
    11,920.32x = 16,445.22 × 7,670.58
  4. Step 4: Simplify right side
    11,920.32x = 126,144,375.63
  5. Step 5: Solve for x
    x = 126,144,375.63/11,920.32
  6. Step 6: Final answer
    x = 10,582.30

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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.