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Finding the Fourth Proportional to 14,470, 21,705 and 3,526

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Solution

The fourth proportional to 14,470, 21,705 and 3,526 is: 5,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470 : 21,705 = 3,526 : x
  2. Step 2: Convert to fraction form
    14,470/21,705 = 3,526/x
  3. Step 3: Cross multiply
    14,470x = 21,705 × 3,526
  4. Step 4: Simplify right side
    14,470x = 76,531,830
  5. Step 5: Solve for x
    x = 76,531,830/14,470
  6. Step 6: Final answer
    x = 5,289

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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.