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Finding the Fourth Proportional to 1,607.28, 2,406.84 and 1,283.28

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Solution

The fourth proportional to 1,607.28, 2,406.84 and 1,283.28 is: 1,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.28 : 2,406.84 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    1,607.28/2,406.84 = 1,283.28/x
  3. Step 3: Cross multiply
    1,607.28x = 2,406.84 × 1,283.28
  4. Step 4: Simplify right side
    1,607.28x = 3,088,649.64
  5. Step 5: Solve for x
    x = 3,088,649.64/1,607.28
  6. Step 6: Final answer
    x = 1,921.66

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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.