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Finding the Fourth Proportional to 2,894.60, 4,341.90 and 2,781.20

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Solution

The fourth proportional to 2,894.60, 4,341.90 and 2,781.20 is: 4,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.60 : 4,341.90 = 2,781.20 : x
  2. Step 2: Convert to fraction form
    2,894.60/4,341.90 = 2,781.20/x
  3. Step 3: Cross multiply
    2,894.60x = 4,341.90 × 2,781.20
  4. Step 4: Simplify right side
    2,894.60x = 12,075,692.28
  5. Step 5: Solve for x
    x = 12,075,692.28/2,894.60
  6. Step 6: Final answer
    x = 4,171.80

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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.