Home / 7,828.17-11,739.48-2,280

Finding the Fourth Proportional to 7,828.17, 11,739.48 and 2,280

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Solution

The fourth proportional to 7,828.17, 11,739.48 and 2,280 is: 3,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.17 : 11,739.48 = 2,280 : x
  2. Step 2: Convert to fraction form
    7,828.17/11,739.48 = 2,280/x
  3. Step 3: Cross multiply
    7,828.17x = 11,739.48 × 2,280
  4. Step 4: Simplify right side
    7,828.17x = 26,766,014.40
  5. Step 5: Solve for x
    x = 26,766,014.40/7,828.17
  6. Step 6: Final answer
    x = 3,419.19

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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.