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Finding the Fourth Proportional to 3,478.80, 4,803 and 2,154.36

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Solution

The fourth proportional to 3,478.80, 4,803 and 2,154.36 is: 2,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 4,803 = 2,154.36 : x
  2. Step 2: Convert to fraction form
    3,478.80/4,803 = 2,154.36/x
  3. Step 3: Cross multiply
    3,478.80x = 4,803 × 2,154.36
  4. Step 4: Simplify right side
    3,478.80x = 10,347,391.08
  5. Step 5: Solve for x
    x = 10,347,391.08/3,478.80
  6. Step 6: Final answer
    x = 2,974.41

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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.