Home / 2,045.78-2,822.12-1,206.08

Finding the Fourth Proportional to 2,045.78, 2,822.12 and 1,206.08

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Solution

The fourth proportional to 2,045.78, 2,822.12 and 1,206.08 is: 1,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.78 : 2,822.12 = 1,206.08 : x
  2. Step 2: Convert to fraction form
    2,045.78/2,822.12 = 1,206.08/x
  3. Step 3: Cross multiply
    2,045.78x = 2,822.12 × 1,206.08
  4. Step 4: Simplify right side
    2,045.78x = 3,403,702.49
  5. Step 5: Solve for x
    x = 3,403,702.49/2,045.78
  6. Step 6: Final answer
    x = 1,663.77

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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.