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Finding the Fourth Proportional to 3,842.84, 5,303.14 and 2,164.32

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Solution

The fourth proportional to 3,842.84, 5,303.14 and 2,164.32 is: 2,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.84 : 5,303.14 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    3,842.84/5,303.14 = 2,164.32/x
  3. Step 3: Cross multiply
    3,842.84x = 5,303.14 × 2,164.32
  4. Step 4: Simplify right side
    3,842.84x = 11,477,686.55
  5. Step 5: Solve for x
    x = 11,477,686.55/3,842.84
  6. Step 6: Final answer
    x = 2,986.77

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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.