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Finding the Fourth Proportional to 3,047.94, 4,572.72 and 1,405.80

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Solution

The fourth proportional to 3,047.94, 4,572.72 and 1,405.80 is: 2,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.94 : 4,572.72 = 1,405.80 : x
  2. Step 2: Convert to fraction form
    3,047.94/4,572.72 = 1,405.80/x
  3. Step 3: Cross multiply
    3,047.94x = 4,572.72 × 1,405.80
  4. Step 4: Simplify right side
    3,047.94x = 6,428,329.78
  5. Step 5: Solve for x
    x = 6,428,329.78/3,047.94
  6. Step 6: Final answer
    x = 2,109.07

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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.