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Finding the Fourth Proportional to 2,313.84, 3,191.64 and 2,019.84

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Solution

The fourth proportional to 2,313.84, 3,191.64 and 2,019.84 is: 2,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.84 : 3,191.64 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    2,313.84/3,191.64 = 2,019.84/x
  3. Step 3: Cross multiply
    2,313.84x = 3,191.64 × 2,019.84
  4. Step 4: Simplify right side
    2,313.84x = 6,446,602.14
  5. Step 5: Solve for x
    x = 6,446,602.14/2,313.84
  6. Step 6: Final answer
    x = 2,786.11

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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.