Home / 1,931.19-2,896.76-470.35

Finding the Fourth Proportional to 1,931.19, 2,896.76 and 470.35

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Solution

The fourth proportional to 1,931.19, 2,896.76 and 470.35 is: 705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.19 : 2,896.76 = 470.35 : x
  2. Step 2: Convert to fraction form
    1,931.19/2,896.76 = 470.35/x
  3. Step 3: Cross multiply
    1,931.19x = 2,896.76 × 470.35
  4. Step 4: Simplify right side
    1,931.19x = 1,362,491.07
  5. Step 5: Solve for x
    x = 1,362,491.07/1,931.19
  6. Step 6: Final answer
    x = 705.52

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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.