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Finding the Fourth Proportional to 3,888.46, 5,832.67 and 1,290.78

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Solution

The fourth proportional to 3,888.46, 5,832.67 and 1,290.78 is: 1,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.46 : 5,832.67 = 1,290.78 : x
  2. Step 2: Convert to fraction form
    3,888.46/5,832.67 = 1,290.78/x
  3. Step 3: Cross multiply
    3,888.46x = 5,832.67 × 1,290.78
  4. Step 4: Simplify right side
    3,888.46x = 7,528,693.78
  5. Step 5: Solve for x
    x = 7,528,693.78/3,888.46
  6. Step 6: Final answer
    x = 1,936.16

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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.