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Finding the Fourth Proportional to 2,070.78, 3,106.29 and 609.96

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Solution

The fourth proportional to 2,070.78, 3,106.29 and 609.96 is: 914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.78 : 3,106.29 = 609.96 : x
  2. Step 2: Convert to fraction form
    2,070.78/3,106.29 = 609.96/x
  3. Step 3: Cross multiply
    2,070.78x = 3,106.29 × 609.96
  4. Step 4: Simplify right side
    2,070.78x = 1,894,712.65
  5. Step 5: Solve for x
    x = 1,894,712.65/2,070.78
  6. Step 6: Final answer
    x = 914.98

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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.