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Finding the Fourth Proportional to 2,070.67, 3,106.45 and 609.93

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Solution

The fourth proportional to 2,070.67, 3,106.45 and 609.93 is: 915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.67 : 3,106.45 = 609.93 : x
  2. Step 2: Convert to fraction form
    2,070.67/3,106.45 = 609.93/x
  3. Step 3: Cross multiply
    2,070.67x = 3,106.45 × 609.93
  4. Step 4: Simplify right side
    2,070.67x = 1,894,717.05
  5. Step 5: Solve for x
    x = 1,894,717.05/2,070.67
  6. Step 6: Final answer
    x = 915.03

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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.