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Finding the Fourth Proportional to 2,801.60, 4,203.18 and 853.80

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Solution

The fourth proportional to 2,801.60, 4,203.18 and 853.80 is: 1,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.60 : 4,203.18 = 853.80 : x
  2. Step 2: Convert to fraction form
    2,801.60/4,203.18 = 853.80/x
  3. Step 3: Cross multiply
    2,801.60x = 4,203.18 × 853.80
  4. Step 4: Simplify right side
    2,801.60x = 3,588,675.08
  5. Step 5: Solve for x
    x = 3,588,675.08/2,801.60
  6. Step 6: Final answer
    x = 1,280.94

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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.