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Finding the Fourth Proportional to 2,256.12, 3,384.06 and 717

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Solution

The fourth proportional to 2,256.12, 3,384.06 and 717 is: 1,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.12 : 3,384.06 = 717 : x
  2. Step 2: Convert to fraction form
    2,256.12/3,384.06 = 717/x
  3. Step 3: Cross multiply
    2,256.12x = 3,384.06 × 717
  4. Step 4: Simplify right side
    2,256.12x = 2,426,371.02
  5. Step 5: Solve for x
    x = 2,426,371.02/2,256.12
  6. Step 6: Final answer
    x = 1,075.46

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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.