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Finding the Fourth Proportional to 35,643.76, 49,187.79 and 19,727.87

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Solution

The fourth proportional to 35,643.76, 49,187.79 and 19,727.87 is: 27,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.76 : 49,187.79 = 19,727.87 : x
  2. Step 2: Convert to fraction form
    35,643.76/49,187.79 = 19,727.87/x
  3. Step 3: Cross multiply
    35,643.76x = 49,187.79 × 19,727.87
  4. Step 4: Simplify right side
    35,643.76x = 970,370,080.77
  5. Step 5: Solve for x
    x = 970,370,080.77/35,643.76
  6. Step 6: Final answer
    x = 27,224.12

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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.