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Finding the Fourth Proportional to 2,106.35, 3,159.52 and 872.93

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Solution

The fourth proportional to 2,106.35, 3,159.52 and 872.93 is: 1,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.35 : 3,159.52 = 872.93 : x
  2. Step 2: Convert to fraction form
    2,106.35/3,159.52 = 872.93/x
  3. Step 3: Cross multiply
    2,106.35x = 3,159.52 × 872.93
  4. Step 4: Simplify right side
    2,106.35x = 2,758,045.51
  5. Step 5: Solve for x
    x = 2,758,045.51/2,106.35
  6. Step 6: Final answer
    x = 1,309.40

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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.