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Finding the Fourth Proportional to 12,378.65, 18,532.57 and 11,593.05

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Solution

The fourth proportional to 12,378.65, 18,532.57 and 11,593.05 is: 17,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.65 : 18,532.57 = 11,593.05 : x
  2. Step 2: Convert to fraction form
    12,378.65/18,532.57 = 11,593.05/x
  3. Step 3: Cross multiply
    12,378.65x = 18,532.57 × 11,593.05
  4. Step 4: Simplify right side
    12,378.65x = 214,849,018.62
  5. Step 5: Solve for x
    x = 214,849,018.62/12,378.65
  6. Step 6: Final answer
    x = 17,356.42

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1.5x scale

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.