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Finding the Fourth Proportional to 2,224.70, 3,070.08 and 1,230.00

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Solution

The fourth proportional to 2,224.70, 3,070.08 and 1,230.00 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.70 : 3,070.08 = 1,230.00 : x
  2. Step 2: Convert to fraction form
    2,224.70/3,070.08 = 1,230.00/x
  3. Step 3: Cross multiply
    2,224.70x = 3,070.08 × 1,230.00
  4. Step 4: Simplify right side
    2,224.70x = 3,776,187.75
  5. Step 5: Solve for x
    x = 3,776,187.75/2,224.70
  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.