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Finding the Fourth Proportional to 11,915.70, 16,445.64 and 6,612.22

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Solution

The fourth proportional to 11,915.70, 16,445.64 and 6,612.22 is: 9,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.70 : 16,445.64 = 6,612.22 : x
  2. Step 2: Convert to fraction form
    11,915.70/16,445.64 = 6,612.22/x
  3. Step 3: Cross multiply
    11,915.70x = 16,445.64 × 6,612.22
  4. Step 4: Simplify right side
    11,915.70x = 108,742,189.72
  5. Step 5: Solve for x
    x = 108,742,189.72/11,915.70
  6. Step 6: Final answer
    x = 9,125.96

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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.