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Finding the Fourth Proportional to 18,470, 27,705 and 7,526

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Solution

The fourth proportional to 18,470, 27,705 and 7,526 is: 11,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470 : 27,705 = 7,526 : x
  2. Step 2: Convert to fraction form
    18,470/27,705 = 7,526/x
  3. Step 3: Cross multiply
    18,470x = 27,705 × 7,526
  4. Step 4: Simplify right side
    18,470x = 208,507,830
  5. Step 5: Solve for x
    x = 208,507,830/18,470
  6. Step 6: Final answer
    x = 11,289

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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.