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Finding the Fourth Proportional to 35,690.40, 49,252 and 19,774.72

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Solution

The fourth proportional to 35,690.40, 49,252 and 19,774.72 is: 27,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690.40 : 49,252 = 19,774.72 : x
  2. Step 2: Convert to fraction form
    35,690.40/49,252 = 19,774.72/x
  3. Step 3: Cross multiply
    35,690.40x = 49,252 × 19,774.72
  4. Step 4: Simplify right side
    35,690.40x = 973,944,509.44
  5. Step 5: Solve for x
    x = 973,944,509.44/35,690.40
  6. Step 6: Final answer
    x = 27,288.70

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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.