Home / 2,106.13-3,159.32-645.29

Finding the Fourth Proportional to 2,106.13, 3,159.32 and 645.29

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Solution

The fourth proportional to 2,106.13, 3,159.32 and 645.29 is: 967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.13 : 3,159.32 = 645.29 : x
  2. Step 2: Convert to fraction form
    2,106.13/3,159.32 = 645.29/x
  3. Step 3: Cross multiply
    2,106.13x = 3,159.32 × 645.29
  4. Step 4: Simplify right side
    2,106.13x = 2,038,674.38
  5. Step 5: Solve for x
    x = 2,038,674.38/2,106.13
  6. Step 6: Final answer
    x = 967.97

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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.