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Finding the Fourth Proportional to 2,578.48, 3,868.36 and 847.06

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Solution

The fourth proportional to 2,578.48, 3,868.36 and 847.06 is: 1,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.48 : 3,868.36 = 847.06 : x
  2. Step 2: Convert to fraction form
    2,578.48/3,868.36 = 847.06/x
  3. Step 3: Cross multiply
    2,578.48x = 3,868.36 × 847.06
  4. Step 4: Simplify right side
    2,578.48x = 3,276,733.02
  5. Step 5: Solve for x
    x = 3,276,733.02/2,578.48
  6. Step 6: Final answer
    x = 1,270.80

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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.