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Finding the Fourth Proportional to 1,887.71, 2,831.76 and 1,065.56

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Solution

The fourth proportional to 1,887.71, 2,831.76 and 1,065.56 is: 1,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.71 : 2,831.76 = 1,065.56 : x
  2. Step 2: Convert to fraction form
    1,887.71/2,831.76 = 1,065.56/x
  3. Step 3: Cross multiply
    1,887.71x = 2,831.76 × 1,065.56
  4. Step 4: Simplify right side
    1,887.71x = 3,017,396.03
  5. Step 5: Solve for x
    x = 3,017,396.03/1,887.71
  6. Step 6: Final answer
    x = 1,598.45

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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.