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Finding the Fourth Proportional to 3,887.14, 5,831.14 and 1,290.08

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Solution

The fourth proportional to 3,887.14, 5,831.14 and 1,290.08 is: 1,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.14 : 5,831.14 = 1,290.08 : x
  2. Step 2: Convert to fraction form
    3,887.14/5,831.14 = 1,290.08/x
  3. Step 3: Cross multiply
    3,887.14x = 5,831.14 × 1,290.08
  4. Step 4: Simplify right side
    3,887.14x = 7,522,637.09
  5. Step 5: Solve for x
    x = 7,522,637.09/3,887.14
  6. Step 6: Final answer
    x = 1,935.26

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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.