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Finding the Fourth Proportional to 2,409.36, 3,614.16 and 678.12

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Solution

The fourth proportional to 2,409.36, 3,614.16 and 678.12 is: 1,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.36 : 3,614.16 = 678.12 : x
  2. Step 2: Convert to fraction form
    2,409.36/3,614.16 = 678.12/x
  3. Step 3: Cross multiply
    2,409.36x = 3,614.16 × 678.12
  4. Step 4: Simplify right side
    2,409.36x = 2,450,814.41
  5. Step 5: Solve for x
    x = 2,450,814.41/2,409.36
  6. Step 6: Final answer
    x = 1,017.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.