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Finding the Fourth Proportional to 3,130.75, 4,320.50 and 1,714.49

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Solution

The fourth proportional to 3,130.75, 4,320.50 and 1,714.49 is: 2,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.75 : 4,320.50 = 1,714.49 : x
  2. Step 2: Convert to fraction form
    3,130.75/4,320.50 = 1,714.49/x
  3. Step 3: Cross multiply
    3,130.75x = 4,320.50 × 1,714.49
  4. Step 4: Simplify right side
    3,130.75x = 7,407,454.05
  5. Step 5: Solve for x
    x = 7,407,454.05/3,130.75
  6. Step 6: Final answer
    x = 2,366.03

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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.