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Finding the Fourth Proportional to 2,170.07, 3,254.28 and 783.06

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Solution

The fourth proportional to 2,170.07, 3,254.28 and 783.06 is: 1,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.07 : 3,254.28 = 783.06 : x
  2. Step 2: Convert to fraction form
    2,170.07/3,254.28 = 783.06/x
  3. Step 3: Cross multiply
    2,170.07x = 3,254.28 × 783.06
  4. Step 4: Simplify right side
    2,170.07x = 2,548,296.50
  5. Step 5: Solve for x
    x = 2,548,296.50/2,170.07
  6. Step 6: Final answer
    x = 1,174.30

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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.