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Finding the Fourth Proportional to 19,738, 29,607 and 5,146

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Solution

The fourth proportional to 19,738, 29,607 and 5,146 is: 7,719

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738 : 29,607 = 5,146 : x
  2. Step 2: Convert to fraction form
    19,738/29,607 = 5,146/x
  3. Step 3: Cross multiply
    19,738x = 29,607 × 5,146
  4. Step 4: Simplify right side
    19,738x = 152,357,622
  5. Step 5: Solve for x
    x = 152,357,622/19,738
  6. Step 6: Final answer
    x = 7,719

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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.