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Finding the Fourth Proportional to 4,548.72, 6,821.60 and 1,774.70

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Solution

The fourth proportional to 4,548.72, 6,821.60 and 1,774.70 is: 2,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.72 : 6,821.60 = 1,774.70 : x
  2. Step 2: Convert to fraction form
    4,548.72/6,821.60 = 1,774.70/x
  3. Step 3: Cross multiply
    4,548.72x = 6,821.60 × 1,774.70
  4. Step 4: Simplify right side
    4,548.72x = 12,106,293.52
  5. Step 5: Solve for x
    x = 12,106,293.52/4,548.72
  6. Step 6: Final answer
    x = 2,661.47

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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.