Home / 1,653.78-2,282.04-945.81

Finding the Fourth Proportional to 1,653.78, 2,282.04 and 945.81

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Solution

The fourth proportional to 1,653.78, 2,282.04 and 945.81 is: 1,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.78 : 2,282.04 = 945.81 : x
  2. Step 2: Convert to fraction form
    1,653.78/2,282.04 = 945.81/x
  3. Step 3: Cross multiply
    1,653.78x = 2,282.04 × 945.81
  4. Step 4: Simplify right side
    1,653.78x = 2,158,376.25
  5. Step 5: Solve for x
    x = 2,158,376.25/1,653.78
  6. Step 6: Final answer
    x = 1,305.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.