Home / 1,931.12-2,896.69-470.28

Finding the Fourth Proportional to 1,931.12, 2,896.69 and 470.28

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Solution

The fourth proportional to 1,931.12, 2,896.69 and 470.28 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.12 : 2,896.69 = 470.28 : x
  2. Step 2: Convert to fraction form
    1,931.12/2,896.69 = 470.28/x
  3. Step 3: Cross multiply
    1,931.12x = 2,896.69 × 470.28
  4. Step 4: Simplify right side
    1,931.12x = 1,362,255.37
  5. Step 5: Solve for x
    x = 1,362,255.37/1,931.12
  6. Step 6: Final answer
    x = 705.42

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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.