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Finding the Fourth Proportional to 22,610, 31,202.76 and 12,674

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Solution

The fourth proportional to 22,610, 31,202.76 and 12,674 is: 17,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610 : 31,202.76 = 12,674 : x
  2. Step 2: Convert to fraction form
    22,610/31,202.76 = 12,674/x
  3. Step 3: Cross multiply
    22,610x = 31,202.76 × 12,674
  4. Step 4: Simplify right side
    22,610x = 395,463,780.24
  5. Step 5: Solve for x
    x = 395,463,780.24/22,610
  6. Step 6: Final answer
    x = 17,490.66

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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.