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Finding the Fourth Proportional to 3,135.40, 4,703.10 and 1,673.80

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Solution

The fourth proportional to 3,135.40, 4,703.10 and 1,673.80 is: 2,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.40 : 4,703.10 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    3,135.40/4,703.10 = 1,673.80/x
  3. Step 3: Cross multiply
    3,135.40x = 4,703.10 × 1,673.80
  4. Step 4: Simplify right side
    3,135.40x = 7,872,048.78
  5. Step 5: Solve for x
    x = 7,872,048.78/3,135.40
  6. Step 6: Final answer
    x = 2,510.70

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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.