Home / 2,056.19-3,084.08-669.47

Finding the Fourth Proportional to 2,056.19, 3,084.08 and 669.47

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Solution

The fourth proportional to 2,056.19, 3,084.08 and 669.47 is: 1,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.19 : 3,084.08 = 669.47 : x
  2. Step 2: Convert to fraction form
    2,056.19/3,084.08 = 669.47/x
  3. Step 3: Cross multiply
    2,056.19x = 3,084.08 × 669.47
  4. Step 4: Simplify right side
    2,056.19x = 2,064,699.04
  5. Step 5: Solve for x
    x = 2,064,699.04/2,056.19
  6. Step 6: Final answer
    x = 1,004.14

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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.