Home / 7,828.78-11,743.20-1,985.40

Finding the Fourth Proportional to 7,828.78, 11,743.20 and 1,985.40

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Solution

The fourth proportional to 7,828.78, 11,743.20 and 1,985.40 is: 2,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.78 : 11,743.20 = 1,985.40 : x
  2. Step 2: Convert to fraction form
    7,828.78/11,743.20 = 1,985.40/x
  3. Step 3: Cross multiply
    7,828.78x = 11,743.20 × 1,985.40
  4. Step 4: Simplify right side
    7,828.78x = 23,314,949.28
  5. Step 5: Solve for x
    x = 23,314,949.28/7,828.78
  6. Step 6: Final answer
    x = 2,978.11

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1.5x scale

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.