Home / 7,828.52-11,742.84-1,985.12

Finding the Fourth Proportional to 7,828.52, 11,742.84 and 1,985.12

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Solution

The fourth proportional to 7,828.52, 11,742.84 and 1,985.12 is: 2,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.52 : 11,742.84 = 1,985.12 : x
  2. Step 2: Convert to fraction form
    7,828.52/11,742.84 = 1,985.12/x
  3. Step 3: Cross multiply
    7,828.52x = 11,742.84 × 1,985.12
  4. Step 4: Simplify right side
    7,828.52x = 23,310,946.54
  5. Step 5: Solve for x
    x = 23,310,946.54/7,828.52
  6. Step 6: Final answer
    x = 2,977.70

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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.