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Finding the Fourth Proportional to 2,788.16, 3,846.30 and 2,345.90

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Solution

The fourth proportional to 2,788.16, 3,846.30 and 2,345.90 is: 3,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.16 : 3,846.30 = 2,345.90 : x
  2. Step 2: Convert to fraction form
    2,788.16/3,846.30 = 2,345.90/x
  3. Step 3: Cross multiply
    2,788.16x = 3,846.30 × 2,345.90
  4. Step 4: Simplify right side
    2,788.16x = 9,023,035.17
  5. Step 5: Solve for x
    x = 9,023,035.17/2,788.16
  6. Step 6: Final answer
    x = 3,236.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.