Home / 1,615.28-2,419.78-946.56

Finding the Fourth Proportional to 1,615.28, 2,419.78 and 946.56

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Solution

The fourth proportional to 1,615.28, 2,419.78 and 946.56 is: 1,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.28 : 2,419.78 = 946.56 : x
  2. Step 2: Convert to fraction form
    1,615.28/2,419.78 = 946.56/x
  3. Step 3: Cross multiply
    1,615.28x = 2,419.78 × 946.56
  4. Step 4: Simplify right side
    1,615.28x = 2,290,466.96
  5. Step 5: Solve for x
    x = 2,290,466.96/1,615.28
  6. Step 6: Final answer
    x = 1,418.00

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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.