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Finding the Fourth Proportional to 2,539.47, 3,809.88 and 895.80

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Solution

The fourth proportional to 2,539.47, 3,809.88 and 895.80 is: 1,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.47 : 3,809.88 = 895.80 : x
  2. Step 2: Convert to fraction form
    2,539.47/3,809.88 = 895.80/x
  3. Step 3: Cross multiply
    2,539.47x = 3,809.88 × 895.80
  4. Step 4: Simplify right side
    2,539.47x = 3,412,890.50
  5. Step 5: Solve for x
    x = 3,412,890.50/2,539.47
  6. Step 6: Final answer
    x = 1,343.94

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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.