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Finding the Fourth Proportional to 3,833, 5,289.56 and 2,154.35

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Solution

The fourth proportional to 3,833, 5,289.56 and 2,154.35 is: 2,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833 : 5,289.56 = 2,154.35 : x
  2. Step 2: Convert to fraction form
    3,833/5,289.56 = 2,154.35/x
  3. Step 3: Cross multiply
    3,833x = 5,289.56 × 2,154.35
  4. Step 4: Simplify right side
    3,833x = 11,395,552.81
  5. Step 5: Solve for x
    x = 11,395,552.81/3,833
  6. Step 6: Final answer
    x = 2,973.01

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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.