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Finding the Fourth Proportional to 2,070.69, 3,106.16 and 665.24

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Solution

The fourth proportional to 2,070.69, 3,106.16 and 665.24 is: 997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.69 : 3,106.16 = 665.24 : x
  2. Step 2: Convert to fraction form
    2,070.69/3,106.16 = 665.24/x
  3. Step 3: Cross multiply
    2,070.69x = 3,106.16 × 665.24
  4. Step 4: Simplify right side
    2,070.69x = 2,066,323.02
  5. Step 5: Solve for x
    x = 2,066,323.02/2,070.69
  6. Step 6: Final answer
    x = 997.89

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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.