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Finding the Fourth Proportional to 4,859, 7,287.29 and 2,085.36

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Solution

The fourth proportional to 4,859, 7,287.29 and 2,085.36 is: 3,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859 : 7,287.29 = 2,085.36 : x
  2. Step 2: Convert to fraction form
    4,859/7,287.29 = 2,085.36/x
  3. Step 3: Cross multiply
    4,859x = 7,287.29 × 2,085.36
  4. Step 4: Simplify right side
    4,859x = 15,196,623.07
  5. Step 5: Solve for x
    x = 15,196,623.07/4,859
  6. Step 6: Final answer
    x = 3,127.52

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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.