Home / 1,433.84-2,150.75-946.78

Finding the Fourth Proportional to 1,433.84, 2,150.75 and 946.78

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Solution

The fourth proportional to 1,433.84, 2,150.75 and 946.78 is: 1,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.84 : 2,150.75 = 946.78 : x
  2. Step 2: Convert to fraction form
    1,433.84/2,150.75 = 946.78/x
  3. Step 3: Cross multiply
    1,433.84x = 2,150.75 × 946.78
  4. Step 4: Simplify right side
    1,433.84x = 2,036,284.08
  5. Step 5: Solve for x
    x = 2,036,284.08/1,433.84
  6. Step 6: Final answer
    x = 1,420.16

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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.