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Finding the Fourth Proportional to 7,975.40, 11,990.43 and 7,767.63

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Solution

The fourth proportional to 7,975.40, 11,990.43 and 7,767.63 is: 11,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.40 : 11,990.43 = 7,767.63 : x
  2. Step 2: Convert to fraction form
    7,975.40/11,990.43 = 7,767.63/x
  3. Step 3: Cross multiply
    7,975.40x = 11,990.43 × 7,767.63
  4. Step 4: Simplify right side
    7,975.40x = 93,137,223.78
  5. Step 5: Solve for x
    x = 93,137,223.78/7,975.40
  6. Step 6: Final answer
    x = 11,678.07

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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.