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Finding the Fourth Proportional to 1,889.42, 2,831.64 and 964.19

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Solution

The fourth proportional to 1,889.42, 2,831.64 and 964.19 is: 1,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.42 : 2,831.64 = 964.19 : x
  2. Step 2: Convert to fraction form
    1,889.42/2,831.64 = 964.19/x
  3. Step 3: Cross multiply
    1,889.42x = 2,831.64 × 964.19
  4. Step 4: Simplify right side
    1,889.42x = 2,730,224.81
  5. Step 5: Solve for x
    x = 2,730,224.81/1,889.42
  6. Step 6: Final answer
    x = 1,445.01

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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.