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Finding the Fourth Proportional to 1,805.60, 2,778.68 and 1,805.60

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Solution

The fourth proportional to 1,805.60, 2,778.68 and 1,805.60 is: 2,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.60 : 2,778.68 = 1,805.60 : x
  2. Step 2: Convert to fraction form
    1,805.60/2,778.68 = 1,805.60/x
  3. Step 3: Cross multiply
    1,805.60x = 2,778.68 × 1,805.60
  4. Step 4: Simplify right side
    1,805.60x = 5,017,184.61
  5. Step 5: Solve for x
    x = 5,017,184.61/1,805.60
  6. Step 6: Final answer
    x = 2,778.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.