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Finding the Fourth Proportional to 34,807, 48,033.72 and 19,903

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Solution

The fourth proportional to 34,807, 48,033.72 and 19,903 is: 27,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,807 : 48,033.72 = 19,903 : x
  2. Step 2: Convert to fraction form
    34,807/48,033.72 = 19,903/x
  3. Step 3: Cross multiply
    34,807x = 48,033.72 × 19,903
  4. Step 4: Simplify right side
    34,807x = 956,015,129.16
  5. Step 5: Solve for x
    x = 956,015,129.16/34,807
  6. Step 6: Final answer
    x = 27,466.17

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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.