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Finding the Fourth Proportional to 35,772.64, 49,368.48 and 19,857.36

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Solution

The fourth proportional to 35,772.64, 49,368.48 and 19,857.36 is: 27,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.64 : 49,368.48 = 19,857.36 : x
  2. Step 2: Convert to fraction form
    35,772.64/49,368.48 = 19,857.36/x
  3. Step 3: Cross multiply
    35,772.64x = 49,368.48 × 19,857.36
  4. Step 4: Simplify right side
    35,772.64x = 980,327,433.17
  5. Step 5: Solve for x
    x = 980,327,433.17/35,772.64
  6. Step 6: Final answer
    x = 27,404.39

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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.