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Finding the Fourth Proportional to 11,466.43, 15,828.18 and 7,688.22

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Solution

The fourth proportional to 11,466.43, 15,828.18 and 7,688.22 is: 10,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.43 : 15,828.18 = 7,688.22 : x
  2. Step 2: Convert to fraction form
    11,466.43/15,828.18 = 7,688.22/x
  3. Step 3: Cross multiply
    11,466.43x = 15,828.18 × 7,688.22
  4. Step 4: Simplify right side
    11,466.43x = 121,690,441.85
  5. Step 5: Solve for x
    x = 121,690,441.85/11,466.43
  6. Step 6: Final answer
    x = 10,612.76

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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.