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Finding the Fourth Proportional to 3,888.26, 5,831.13 and 1,290.50

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Solution

The fourth proportional to 3,888.26, 5,831.13 and 1,290.50 is: 1,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.26 : 5,831.13 = 1,290.50 : x
  2. Step 2: Convert to fraction form
    3,888.26/5,831.13 = 1,290.50/x
  3. Step 3: Cross multiply
    3,888.26x = 5,831.13 × 1,290.50
  4. Step 4: Simplify right side
    3,888.26x = 7,525,073.27
  5. Step 5: Solve for x
    x = 7,525,073.27/3,888.26
  6. Step 6: Final answer
    x = 1,935.33

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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.