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Finding the Fourth Proportional to 3,047, 4,570.50 and 1,748.48

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Solution

The fourth proportional to 3,047, 4,570.50 and 1,748.48 is: 2,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047 : 4,570.50 = 1,748.48 : x
  2. Step 2: Convert to fraction form
    3,047/4,570.50 = 1,748.48/x
  3. Step 3: Cross multiply
    3,047x = 4,570.50 × 1,748.48
  4. Step 4: Simplify right side
    3,047x = 7,991,427.84
  5. Step 5: Solve for x
    x = 7,991,427.84/3,047
  6. Step 6: Final answer
    x = 2,622.72

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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.