Home / 2,102.16-2,900.64-1,218

Finding the Fourth Proportional to 2,102.16, 2,900.64 and 1,218

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Solution

The fourth proportional to 2,102.16, 2,900.64 and 1,218 is: 1,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 2,900.64 = 1,218 : x
  2. Step 2: Convert to fraction form
    2,102.16/2,900.64 = 1,218/x
  3. Step 3: Cross multiply
    2,102.16x = 2,900.64 × 1,218
  4. Step 4: Simplify right side
    2,102.16x = 3,532,979.52
  5. Step 5: Solve for x
    x = 3,532,979.52/2,102.16
  6. Step 6: Final answer
    x = 1,680.64

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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.