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Finding the Fourth Proportional to 40,828, 61,242 and 13,126

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Solution

The fourth proportional to 40,828, 61,242 and 13,126 is: 19,689

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,828 : 61,242 = 13,126 : x
  2. Step 2: Convert to fraction form
    40,828/61,242 = 13,126/x
  3. Step 3: Cross multiply
    40,828x = 61,242 × 13,126
  4. Step 4: Simplify right side
    40,828x = 803,862,492
  5. Step 5: Solve for x
    x = 803,862,492/40,828
  6. Step 6: Final answer
    x = 19,689

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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.