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Finding the Fourth Proportional to 13,158, 19,737 and 3,430

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Solution

The fourth proportional to 13,158, 19,737 and 3,430 is: 5,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158 : 19,737 = 3,430 : x
  2. Step 2: Convert to fraction form
    13,158/19,737 = 3,430/x
  3. Step 3: Cross multiply
    13,158x = 19,737 × 3,430
  4. Step 4: Simplify right side
    13,158x = 67,697,910
  5. Step 5: Solve for x
    x = 67,697,910/13,158
  6. Step 6: Final answer
    x = 5,145

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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.