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Finding the Fourth Proportional to 3,889.06, 5,828.10 and 1,809.70

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Solution

The fourth proportional to 3,889.06, 5,828.10 and 1,809.70 is: 2,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.06 : 5,828.10 = 1,809.70 : x
  2. Step 2: Convert to fraction form
    3,889.06/5,828.10 = 1,809.70/x
  3. Step 3: Cross multiply
    3,889.06x = 5,828.10 × 1,809.70
  4. Step 4: Simplify right side
    3,889.06x = 10,547,112.57
  5. Step 5: Solve for x
    x = 10,547,112.57/3,889.06
  6. Step 6: Final answer
    x = 2,712.00

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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.