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Finding the Fourth Proportional to 1,888.02, 2,831.55 and 1,581.78

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Solution

The fourth proportional to 1,888.02, 2,831.55 and 1,581.78 is: 2,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.02 : 2,831.55 = 1,581.78 : x
  2. Step 2: Convert to fraction form
    1,888.02/2,831.55 = 1,581.78/x
  3. Step 3: Cross multiply
    1,888.02x = 2,831.55 × 1,581.78
  4. Step 4: Simplify right side
    1,888.02x = 4,478,889.16
  5. Step 5: Solve for x
    x = 4,478,889.16/1,888.02
  6. Step 6: Final answer
    x = 2,372.27

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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.