Home / 1,474.32-2,034.52-802.09

Finding the Fourth Proportional to 1,474.32, 2,034.52 and 802.09

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Solution

The fourth proportional to 1,474.32, 2,034.52 and 802.09 is: 1,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.32 : 2,034.52 = 802.09 : x
  2. Step 2: Convert to fraction form
    1,474.32/2,034.52 = 802.09/x
  3. Step 3: Cross multiply
    1,474.32x = 2,034.52 × 802.09
  4. Step 4: Simplify right side
    1,474.32x = 1,631,861.06
  5. Step 5: Solve for x
    x = 1,631,861.06/1,474.32
  6. Step 6: Final answer
    x = 1,106.86

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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.