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Finding the Fourth Proportional to 20,587, 28,407.09 and 11,512.48

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Solution

The fourth proportional to 20,587, 28,407.09 and 11,512.48 is: 15,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587 : 28,407.09 = 11,512.48 : x
  2. Step 2: Convert to fraction form
    20,587/28,407.09 = 11,512.48/x
  3. Step 3: Cross multiply
    20,587x = 28,407.09 × 11,512.48
  4. Step 4: Simplify right side
    20,587x = 327,036,055.48
  5. Step 5: Solve for x
    x = 327,036,055.48/20,587
  6. Step 6: Final answer
    x = 15,885.56

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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.