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Finding the Fourth Proportional to 2,369.67, 3,555.06 and 726.45

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Solution

The fourth proportional to 2,369.67, 3,555.06 and 726.45 is: 1,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.67 : 3,555.06 = 726.45 : x
  2. Step 2: Convert to fraction form
    2,369.67/3,555.06 = 726.45/x
  3. Step 3: Cross multiply
    2,369.67x = 3,555.06 × 726.45
  4. Step 4: Simplify right side
    2,369.67x = 2,582,573.34
  5. Step 5: Solve for x
    x = 2,582,573.34/2,369.67
  6. Step 6: Final answer
    x = 1,089.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.