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Finding the Fourth Proportional to 31,128, 42,956.64 and 16,980.90

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Solution

The fourth proportional to 31,128, 42,956.64 and 16,980.90 is: 23,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128 : 42,956.64 = 16,980.90 : x
  2. Step 2: Convert to fraction form
    31,128/42,956.64 = 16,980.90/x
  3. Step 3: Cross multiply
    31,128x = 42,956.64 × 16,980.90
  4. Step 4: Simplify right side
    31,128x = 729,442,408.18
  5. Step 5: Solve for x
    x = 729,442,408.18/31,128
  6. Step 6: Final answer
    x = 23,433.64

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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.