Home / 7,828.62-11,743.02-1,985.08

Finding the Fourth Proportional to 7,828.62, 11,743.02 and 1,985.08

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Solution

The fourth proportional to 7,828.62, 11,743.02 and 1,985.08 is: 2,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.62 : 11,743.02 = 1,985.08 : x
  2. Step 2: Convert to fraction form
    7,828.62/11,743.02 = 1,985.08/x
  3. Step 3: Cross multiply
    7,828.62x = 11,743.02 × 1,985.08
  4. Step 4: Simplify right side
    7,828.62x = 23,310,834.14
  5. Step 5: Solve for x
    x = 23,310,834.14/7,828.62
  6. Step 6: Final answer
    x = 2,977.64

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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.