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Finding the Fourth Proportional to 11,440, 15,788.16 and 6,472.96

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Solution

The fourth proportional to 11,440, 15,788.16 and 6,472.96 is: 8,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440 : 15,788.16 = 6,472.96 : x
  2. Step 2: Convert to fraction form
    11,440/15,788.16 = 6,472.96/x
  3. Step 3: Cross multiply
    11,440x = 15,788.16 × 6,472.96
  4. Step 4: Simplify right side
    11,440x = 102,196,128.15
  5. Step 5: Solve for x
    x = 102,196,128.15/11,440
  6. Step 6: Final answer
    x = 8,933.23

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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.