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Finding the Fourth Proportional to 35,687.30, 49,248.87 and 19,772

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Solution

The fourth proportional to 35,687.30, 49,248.87 and 19,772 is: 27,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.30 : 49,248.87 = 19,772 : x
  2. Step 2: Convert to fraction form
    35,687.30/49,248.87 = 19,772/x
  3. Step 3: Cross multiply
    35,687.30x = 49,248.87 × 19,772
  4. Step 4: Simplify right side
    35,687.30x = 973,748,657.64
  5. Step 5: Solve for x
    x = 973,748,657.64/35,687.30
  6. Step 6: Final answer
    x = 27,285.58

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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.