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Finding the Fourth Proportional to 2,783.06, 3,840.81 and 1,788.65

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Solution

The fourth proportional to 2,783.06, 3,840.81 and 1,788.65 is: 2,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.06 : 3,840.81 = 1,788.65 : x
  2. Step 2: Convert to fraction form
    2,783.06/3,840.81 = 1,788.65/x
  3. Step 3: Cross multiply
    2,783.06x = 3,840.81 × 1,788.65
  4. Step 4: Simplify right side
    2,783.06x = 6,869,864.81
  5. Step 5: Solve for x
    x = 6,869,864.81/2,783.06
  6. Step 6: Final answer
    x = 2,468.46

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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.