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Finding the Fourth Proportional to 3,028.07, 4,541.74 and 807.08

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Solution

The fourth proportional to 3,028.07, 4,541.74 and 807.08 is: 1,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.07 : 4,541.74 = 807.08 : x
  2. Step 2: Convert to fraction form
    3,028.07/4,541.74 = 807.08/x
  3. Step 3: Cross multiply
    3,028.07x = 4,541.74 × 807.08
  4. Step 4: Simplify right side
    3,028.07x = 3,665,522.79
  5. Step 5: Solve for x
    x = 3,665,522.79/3,028.07
  6. Step 6: Final answer
    x = 1,210.51

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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.