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Finding the Fourth Proportional to 23,130, 31,919.40 and 17,190

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Solution

The fourth proportional to 23,130, 31,919.40 and 17,190 is: 23,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130 : 31,919.40 = 17,190 : x
  2. Step 2: Convert to fraction form
    23,130/31,919.40 = 17,190/x
  3. Step 3: Cross multiply
    23,130x = 31,919.40 × 17,190
  4. Step 4: Simplify right side
    23,130x = 548,694,486
  5. Step 5: Solve for x
    x = 548,694,486/23,130
  6. Step 6: Final answer
    x = 23,722.20

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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.