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Finding the Fourth Proportional to 5,206.14, 7,802.46 and 3,969

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Solution

The fourth proportional to 5,206.14, 7,802.46 and 3,969 is: 5,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.14 : 7,802.46 = 3,969 : x
  2. Step 2: Convert to fraction form
    5,206.14/7,802.46 = 3,969/x
  3. Step 3: Cross multiply
    5,206.14x = 7,802.46 × 3,969
  4. Step 4: Simplify right side
    5,206.14x = 30,967,963.74
  5. Step 5: Solve for x
    x = 30,967,963.74/5,206.14
  6. Step 6: Final answer
    x = 5,948.35

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1.5x scale

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.