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Finding the Fourth Proportional to 1,888.10, 2,831.75 and 588.86

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Solution

The fourth proportional to 1,888.10, 2,831.75 and 588.86 is: 883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.10 : 2,831.75 = 588.86 : x
  2. Step 2: Convert to fraction form
    1,888.10/2,831.75 = 588.86/x
  3. Step 3: Cross multiply
    1,888.10x = 2,831.75 × 588.86
  4. Step 4: Simplify right side
    1,888.10x = 1,667,501.36
  5. Step 5: Solve for x
    x = 1,667,501.36/1,888.10
  6. Step 6: Final answer
    x = 883.16

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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.