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Finding the Fourth Proportional to 3,145, 4,735.84 and 2,329.06

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Solution

The fourth proportional to 3,145, 4,735.84 and 2,329.06 is: 3,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145 : 4,735.84 = 2,329.06 : x
  2. Step 2: Convert to fraction form
    3,145/4,735.84 = 2,329.06/x
  3. Step 3: Cross multiply
    3,145x = 4,735.84 × 2,329.06
  4. Step 4: Simplify right side
    3,145x = 11,030,055.51
  5. Step 5: Solve for x
    x = 11,030,055.51/3,145
  6. Step 6: Final answer
    x = 3,507.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.