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Finding the Fourth Proportional to 34,267.84, 51,388.80 and 13,480

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Solution

The fourth proportional to 34,267.84, 51,388.80 and 13,480 is: 20,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,267.84 : 51,388.80 = 13,480 : x
  2. Step 2: Convert to fraction form
    34,267.84/51,388.80 = 13,480/x
  3. Step 3: Cross multiply
    34,267.84x = 51,388.80 × 13,480
  4. Step 4: Simplify right side
    34,267.84x = 692,721,024
  5. Step 5: Solve for x
    x = 692,721,024/34,267.84
  6. Step 6: Final answer
    x = 20,214.90

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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.