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Finding the Fourth Proportional to 2,828.07, 4,242.09 and 776.07

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Solution

The fourth proportional to 2,828.07, 4,242.09 and 776.07 is: 1,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.07 : 4,242.09 = 776.07 : x
  2. Step 2: Convert to fraction form
    2,828.07/4,242.09 = 776.07/x
  3. Step 3: Cross multiply
    2,828.07x = 4,242.09 × 776.07
  4. Step 4: Simplify right side
    2,828.07x = 3,292,158.79
  5. Step 5: Solve for x
    x = 3,292,158.79/2,828.07
  6. Step 6: Final answer
    x = 1,164.10

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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.