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Finding the Fourth Proportional to 2,224.75, 3,070.12 and 1,230.01

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Solution

The fourth proportional to 2,224.75, 3,070.12 and 1,230.01 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.75 : 3,070.12 = 1,230.01 : x
  2. Step 2: Convert to fraction form
    2,224.75/3,070.12 = 1,230.01/x
  3. Step 3: Cross multiply
    2,224.75x = 3,070.12 × 1,230.01
  4. Step 4: Simplify right side
    2,224.75x = 3,776,256.80
  5. Step 5: Solve for x
    x = 3,776,256.80/2,224.75
  6. Step 6: Final answer
    x = 1,697.39

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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.