Home / 2,046.78-2,827.64-1,653.12

Finding the Fourth Proportional to 2,046.78, 2,827.64 and 1,653.12

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Solution

The fourth proportional to 2,046.78, 2,827.64 and 1,653.12 is: 2,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.78 : 2,827.64 = 1,653.12 : x
  2. Step 2: Convert to fraction form
    2,046.78/2,827.64 = 1,653.12/x
  3. Step 3: Cross multiply
    2,046.78x = 2,827.64 × 1,653.12
  4. Step 4: Simplify right side
    2,046.78x = 4,674,432.37
  5. Step 5: Solve for x
    x = 4,674,432.37/2,046.78
  6. Step 6: Final answer
    x = 2,283.80

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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.