Home / 2,106.98-3,160.34-646.13

Finding the Fourth Proportional to 2,106.98, 3,160.34 and 646.13

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Solution

The fourth proportional to 2,106.98, 3,160.34 and 646.13 is: 969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.98 : 3,160.34 = 646.13 : x
  2. Step 2: Convert to fraction form
    2,106.98/3,160.34 = 646.13/x
  3. Step 3: Cross multiply
    2,106.98x = 3,160.34 × 646.13
  4. Step 4: Simplify right side
    2,106.98x = 2,041,971.45
  5. Step 5: Solve for x
    x = 2,041,971.45/2,106.98
  6. Step 6: Final answer
    x = 969.15

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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.