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Finding the Fourth Proportional to 3,036.70, 4,554.69 and 845.20

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Solution

The fourth proportional to 3,036.70, 4,554.69 and 845.20 is: 1,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.70 : 4,554.69 = 845.20 : x
  2. Step 2: Convert to fraction form
    3,036.70/4,554.69 = 845.20/x
  3. Step 3: Cross multiply
    3,036.70x = 4,554.69 × 845.20
  4. Step 4: Simplify right side
    3,036.70x = 3,849,623.99
  5. Step 5: Solve for x
    x = 3,849,623.99/3,036.70
  6. Step 6: Final answer
    x = 1,267.70

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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.