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Finding the Fourth Proportional to 40,415.68, 55,782.24 and 27,160

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Solution

The fourth proportional to 40,415.68, 55,782.24 and 27,160 is: 37,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415.68 : 55,782.24 = 27,160 : x
  2. Step 2: Convert to fraction form
    40,415.68/55,782.24 = 27,160/x
  3. Step 3: Cross multiply
    40,415.68x = 55,782.24 × 27,160
  4. Step 4: Simplify right side
    40,415.68x = 1,515,045,638.40
  5. Step 5: Solve for x
    x = 1,515,045,638.40/40,415.68
  6. Step 6: Final answer
    x = 37,486.58

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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.