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Finding the Fourth Proportional to 8,712.79, 12,023.90 and 5,128

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Solution

The fourth proportional to 8,712.79, 12,023.90 and 5,128 is: 7,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.79 : 12,023.90 = 5,128 : x
  2. Step 2: Convert to fraction form
    8,712.79/12,023.90 = 5,128/x
  3. Step 3: Cross multiply
    8,712.79x = 12,023.90 × 5,128
  4. Step 4: Simplify right side
    8,712.79x = 61,658,533.56
  5. Step 5: Solve for x
    x = 61,658,533.56/8,712.79
  6. Step 6: Final answer
    x = 7,076.78

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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.