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Finding the Fourth Proportional to 34,215.84, 51,310.80 and 13,428

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Solution

The fourth proportional to 34,215.84, 51,310.80 and 13,428 is: 20,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215.84 : 51,310.80 = 13,428 : x
  2. Step 2: Convert to fraction form
    34,215.84/51,310.80 = 13,428/x
  3. Step 3: Cross multiply
    34,215.84x = 51,310.80 × 13,428
  4. Step 4: Simplify right side
    34,215.84x = 689,001,422.40
  5. Step 5: Solve for x
    x = 689,001,422.40/34,215.84
  6. Step 6: Final answer
    x = 20,136.91

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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.