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Finding the Fourth Proportional to 1,840.64, 2,538.41 and 1,210.64

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Solution

The fourth proportional to 1,840.64, 2,538.41 and 1,210.64 is: 1,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.64 : 2,538.41 = 1,210.64 : x
  2. Step 2: Convert to fraction form
    1,840.64/2,538.41 = 1,210.64/x
  3. Step 3: Cross multiply
    1,840.64x = 2,538.41 × 1,210.64
  4. Step 4: Simplify right side
    1,840.64x = 3,073,081.94
  5. Step 5: Solve for x
    x = 3,073,081.94/1,840.64
  6. Step 6: Final answer
    x = 1,669.58

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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.