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Finding the Fourth Proportional to 40,420, 55,783.38 and 23,653

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Solution

The fourth proportional to 40,420, 55,783.38 and 23,653 is: 32,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,420 : 55,783.38 = 23,653 : x
  2. Step 2: Convert to fraction form
    40,420/55,783.38 = 23,653/x
  3. Step 3: Cross multiply
    40,420x = 55,783.38 × 23,653
  4. Step 4: Simplify right side
    40,420x = 1,319,444,287.14
  5. Step 5: Solve for x
    x = 1,319,444,287.14/40,420
  6. Step 6: Final answer
    x = 32,643.35

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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.