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Finding the Fourth Proportional to 2,223.65, 3,069 and 1,339.63

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Solution

The fourth proportional to 2,223.65, 3,069 and 1,339.63 is: 1,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.65 : 3,069 = 1,339.63 : x
  2. Step 2: Convert to fraction form
    2,223.65/3,069 = 1,339.63/x
  3. Step 3: Cross multiply
    2,223.65x = 3,069 × 1,339.63
  4. Step 4: Simplify right side
    2,223.65x = 4,111,316.80
  5. Step 5: Solve for x
    x = 4,111,316.80/2,223.65
  6. Step 6: Final answer
    x = 1,848.90

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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.