Home / 7,828.92-11,743.36-1,985.51

Finding the Fourth Proportional to 7,828.92, 11,743.36 and 1,985.51

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Solution

The fourth proportional to 7,828.92, 11,743.36 and 1,985.51 is: 2,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.92 : 11,743.36 = 1,985.51 : x
  2. Step 2: Convert to fraction form
    7,828.92/11,743.36 = 1,985.51/x
  3. Step 3: Cross multiply
    7,828.92x = 11,743.36 × 1,985.51
  4. Step 4: Simplify right side
    7,828.92x = 23,316,583.11
  5. Step 5: Solve for x
    x = 23,316,583.11/7,828.92
  6. Step 6: Final answer
    x = 2,978.26

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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.