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Finding the Fourth Proportional to 2,521.72, 3,783.66 and 790.48

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Solution

The fourth proportional to 2,521.72, 3,783.66 and 790.48 is: 1,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.72 : 3,783.66 = 790.48 : x
  2. Step 2: Convert to fraction form
    2,521.72/3,783.66 = 790.48/x
  3. Step 3: Cross multiply
    2,521.72x = 3,783.66 × 790.48
  4. Step 4: Simplify right side
    2,521.72x = 2,990,907.56
  5. Step 5: Solve for x
    x = 2,990,907.56/2,521.72
  6. Step 6: Final answer
    x = 1,186.06

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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.