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Finding the Fourth Proportional to 18,107.68, 27,152.52 and 7,574.50

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Solution

The fourth proportional to 18,107.68, 27,152.52 and 7,574.50 is: 11,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,107.68 : 27,152.52 = 7,574.50 : x
  2. Step 2: Convert to fraction form
    18,107.68/27,152.52 = 7,574.50/x
  3. Step 3: Cross multiply
    18,107.68x = 27,152.52 × 7,574.50
  4. Step 4: Simplify right side
    18,107.68x = 205,666,762.74
  5. Step 5: Solve for x
    x = 205,666,762.74/18,107.68
  6. Step 6: Final answer
    x = 11,357.99

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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.