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Finding the Fourth Proportional to 1,778.64, 2,664.54 and 1,386.81

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Solution

The fourth proportional to 1,778.64, 2,664.54 and 1,386.81 is: 2,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.64 : 2,664.54 = 1,386.81 : x
  2. Step 2: Convert to fraction form
    1,778.64/2,664.54 = 1,386.81/x
  3. Step 3: Cross multiply
    1,778.64x = 2,664.54 × 1,386.81
  4. Step 4: Simplify right side
    1,778.64x = 3,695,210.72
  5. Step 5: Solve for x
    x = 3,695,210.72/1,778.64
  6. Step 6: Final answer
    x = 2,077.55

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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.