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Finding the Fourth Proportional to 1,887.23, 2,831.36 and 913.33

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Solution

The fourth proportional to 1,887.23, 2,831.36 and 913.33 is: 1,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.23 : 2,831.36 = 913.33 : x
  2. Step 2: Convert to fraction form
    1,887.23/2,831.36 = 913.33/x
  3. Step 3: Cross multiply
    1,887.23x = 2,831.36 × 913.33
  4. Step 4: Simplify right side
    1,887.23x = 2,585,966.03
  5. Step 5: Solve for x
    x = 2,585,966.03/1,887.23
  6. Step 6: Final answer
    x = 1,370.24

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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.