Home / 7,783.84-11,669.13-3,398.02

Finding the Fourth Proportional to 7,783.84, 11,669.13 and 3,398.02

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Solution

The fourth proportional to 7,783.84, 11,669.13 and 3,398.02 is: 5,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.84 : 11,669.13 = 3,398.02 : x
  2. Step 2: Convert to fraction form
    7,783.84/11,669.13 = 3,398.02/x
  3. Step 3: Cross multiply
    7,783.84x = 11,669.13 × 3,398.02
  4. Step 4: Simplify right side
    7,783.84x = 39,651,937.12
  5. Step 5: Solve for x
    x = 39,651,937.12/7,783.84
  6. Step 6: Final answer
    x = 5,094.14

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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.