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Finding the Fourth Proportional to 3,000.63, 4,140.85 and 1,674.25

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Solution

The fourth proportional to 3,000.63, 4,140.85 and 1,674.25 is: 2,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.63 : 4,140.85 = 1,674.25 : x
  2. Step 2: Convert to fraction form
    3,000.63/4,140.85 = 1,674.25/x
  3. Step 3: Cross multiply
    3,000.63x = 4,140.85 × 1,674.25
  4. Step 4: Simplify right side
    3,000.63x = 6,932,818.11
  5. Step 5: Solve for x
    x = 6,932,818.11/3,000.63
  6. Step 6: Final answer
    x = 2,310.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.