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Finding the Fourth Proportional to 2,801.31, 4,200.74 and 853.06

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Solution

The fourth proportional to 2,801.31, 4,200.74 and 853.06 is: 1,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.31 : 4,200.74 = 853.06 : x
  2. Step 2: Convert to fraction form
    2,801.31/4,200.74 = 853.06/x
  3. Step 3: Cross multiply
    2,801.31x = 4,200.74 × 853.06
  4. Step 4: Simplify right side
    2,801.31x = 3,583,483.26
  5. Step 5: Solve for x
    x = 3,583,483.26/2,801.31
  6. Step 6: Final answer
    x = 1,279.22

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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.