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Finding the Fourth Proportional to 34,768.04, 52,151.52 and 13,991

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Solution

The fourth proportional to 34,768.04, 52,151.52 and 13,991 is: 20,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768.04 : 52,151.52 = 13,991 : x
  2. Step 2: Convert to fraction form
    34,768.04/52,151.52 = 13,991/x
  3. Step 3: Cross multiply
    34,768.04x = 52,151.52 × 13,991
  4. Step 4: Simplify right side
    34,768.04x = 729,651,916.32
  5. Step 5: Solve for x
    x = 729,651,916.32/34,768.04
  6. Step 6: Final answer
    x = 20,986.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.