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Finding the Fourth Proportional to 3,410.84, 4,706.71 and 1,918.47

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Solution

The fourth proportional to 3,410.84, 4,706.71 and 1,918.47 is: 2,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.84 : 4,706.71 = 1,918.47 : x
  2. Step 2: Convert to fraction form
    3,410.84/4,706.71 = 1,918.47/x
  3. Step 3: Cross multiply
    3,410.84x = 4,706.71 × 1,918.47
  4. Step 4: Simplify right side
    3,410.84x = 9,029,668.31
  5. Step 5: Solve for x
    x = 9,029,668.31/3,410.84
  6. Step 6: Final answer
    x = 2,647.34

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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.