Home / 2,678.16-4,012.92-1,650

Finding the Fourth Proportional to 2,678.16, 4,012.92 and 1,650

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Solution

The fourth proportional to 2,678.16, 4,012.92 and 1,650 is: 2,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.16 : 4,012.92 = 1,650 : x
  2. Step 2: Convert to fraction form
    2,678.16/4,012.92 = 1,650/x
  3. Step 3: Cross multiply
    2,678.16x = 4,012.92 × 1,650
  4. Step 4: Simplify right side
    2,678.16x = 6,621,318
  5. Step 5: Solve for x
    x = 6,621,318/2,678.16
  6. Step 6: Final answer
    x = 2,472.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.