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Finding the Fourth Proportional to 22,954.64, 31,678.44 and 17,978

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Solution

The fourth proportional to 22,954.64, 31,678.44 and 17,978 is: 24,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.64 : 31,678.44 = 17,978 : x
  2. Step 2: Convert to fraction form
    22,954.64/31,678.44 = 17,978/x
  3. Step 3: Cross multiply
    22,954.64x = 31,678.44 × 17,978
  4. Step 4: Simplify right side
    22,954.64x = 569,514,994.32
  5. Step 5: Solve for x
    x = 569,514,994.32/22,954.64
  6. Step 6: Final answer
    x = 24,810.45

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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.