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Finding the Fourth Proportional to 3,485, 4,809.46 and 1,913.16

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Solution

The fourth proportional to 3,485, 4,809.46 and 1,913.16 is: 2,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485 : 4,809.46 = 1,913.16 : x
  2. Step 2: Convert to fraction form
    3,485/4,809.46 = 1,913.16/x
  3. Step 3: Cross multiply
    3,485x = 4,809.46 × 1,913.16
  4. Step 4: Simplify right side
    3,485x = 9,201,266.49
  5. Step 5: Solve for x
    x = 9,201,266.49/3,485
  6. Step 6: Final answer
    x = 2,640.25

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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.