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Finding the Fourth Proportional to 35,809.34, 49,415.12 and 19,894.70

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Solution

The fourth proportional to 35,809.34, 49,415.12 and 19,894.70 is: 27,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.34 : 49,415.12 = 19,894.70 : x
  2. Step 2: Convert to fraction form
    35,809.34/49,415.12 = 19,894.70/x
  3. Step 3: Cross multiply
    35,809.34x = 49,415.12 × 19,894.70
  4. Step 4: Simplify right side
    35,809.34x = 983,098,987.86
  5. Step 5: Solve for x
    x = 983,098,987.86/35,809.34
  6. Step 6: Final answer
    x = 27,453.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.