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Finding the Fourth Proportional to 2,050.02, 3,075.02 and 817.08

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Solution

The fourth proportional to 2,050.02, 3,075.02 and 817.08 is: 1,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.02 : 3,075.02 = 817.08 : x
  2. Step 2: Convert to fraction form
    2,050.02/3,075.02 = 817.08/x
  3. Step 3: Cross multiply
    2,050.02x = 3,075.02 × 817.08
  4. Step 4: Simplify right side
    2,050.02x = 2,512,537.34
  5. Step 5: Solve for x
    x = 2,512,537.34/2,050.02
  6. Step 6: Final answer
    x = 1,225.62

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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.