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Finding the Fourth Proportional to 11,512, 15,888.48 and 8,712.64

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Solution

The fourth proportional to 11,512, 15,888.48 and 8,712.64 is: 12,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512 : 15,888.48 = 8,712.64 : x
  2. Step 2: Convert to fraction form
    11,512/15,888.48 = 8,712.64/x
  3. Step 3: Cross multiply
    11,512x = 15,888.48 × 8,712.64
  4. Step 4: Simplify right side
    11,512x = 138,430,606.39
  5. Step 5: Solve for x
    x = 138,430,606.39/11,512
  6. Step 6: Final answer
    x = 12,024.90

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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.