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Finding the Fourth Proportional to 6,802.76, 9,389.78 and 4,113.98

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Solution

The fourth proportional to 6,802.76, 9,389.78 and 4,113.98 is: 5,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.76 : 9,389.78 = 4,113.98 : x
  2. Step 2: Convert to fraction form
    6,802.76/9,389.78 = 4,113.98/x
  3. Step 3: Cross multiply
    6,802.76x = 9,389.78 × 4,113.98
  4. Step 4: Simplify right side
    6,802.76x = 38,629,370.03
  5. Step 5: Solve for x
    x = 38,629,370.03/6,802.76
  6. Step 6: Final answer
    x = 5,678.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.