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Finding the Fourth Proportional to 2,210.40, 3,049.80 and 1,423.50

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Solution

The fourth proportional to 2,210.40, 3,049.80 and 1,423.50 is: 1,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.40 : 3,049.80 = 1,423.50 : x
  2. Step 2: Convert to fraction form
    2,210.40/3,049.80 = 1,423.50/x
  3. Step 3: Cross multiply
    2,210.40x = 3,049.80 × 1,423.50
  4. Step 4: Simplify right side
    2,210.40x = 4,341,390.30
  5. Step 5: Solve for x
    x = 4,341,390.30/2,210.40
  6. Step 6: Final answer
    x = 1,964.07

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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.