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Finding the Fourth Proportional to 2,765.34, 3,816 and 1,646.37

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Solution

The fourth proportional to 2,765.34, 3,816 and 1,646.37 is: 2,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.34 : 3,816 = 1,646.37 : x
  2. Step 2: Convert to fraction form
    2,765.34/3,816 = 1,646.37/x
  3. Step 3: Cross multiply
    2,765.34x = 3,816 × 1,646.37
  4. Step 4: Simplify right side
    2,765.34x = 6,282,547.92
  5. Step 5: Solve for x
    x = 6,282,547.92/2,765.34
  6. Step 6: Final answer
    x = 2,271.89

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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.