Home / 1,921.40-2,880.10-1,305.14

Finding the Fourth Proportional to 1,921.40, 2,880.10 and 1,305.14

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Solution

The fourth proportional to 1,921.40, 2,880.10 and 1,305.14 is: 1,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.40 : 2,880.10 = 1,305.14 : x
  2. Step 2: Convert to fraction form
    1,921.40/2,880.10 = 1,305.14/x
  3. Step 3: Cross multiply
    1,921.40x = 2,880.10 × 1,305.14
  4. Step 4: Simplify right side
    1,921.40x = 3,758,933.71
  5. Step 5: Solve for x
    x = 3,758,933.71/1,921.40
  6. Step 6: Final answer
    x = 1,956.35

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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.