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Finding the Fourth Proportional to 19,737, 29,605.50 and 5,145

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Solution

The fourth proportional to 19,737, 29,605.50 and 5,145 is: 7,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 29,605.50 = 5,145 : x
  2. Step 2: Convert to fraction form
    19,737/29,605.50 = 5,145/x
  3. Step 3: Cross multiply
    19,737x = 29,605.50 × 5,145
  4. Step 4: Simplify right side
    19,737x = 152,320,297.50
  5. Step 5: Solve for x
    x = 152,320,297.50/19,737
  6. Step 6: Final answer
    x = 7,717.50

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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.