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Finding the Fourth Proportional to 34,227.84, 51,328.80 and 13,440

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Solution

The fourth proportional to 34,227.84, 51,328.80 and 13,440 is: 20,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.84 : 51,328.80 = 13,440 : x
  2. Step 2: Convert to fraction form
    34,227.84/51,328.80 = 13,440/x
  3. Step 3: Cross multiply
    34,227.84x = 51,328.80 × 13,440
  4. Step 4: Simplify right side
    34,227.84x = 689,859,072
  5. Step 5: Solve for x
    x = 689,859,072/34,227.84
  6. Step 6: Final answer
    x = 20,154.91

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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.