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Finding the Fourth Proportional to 7,772.82, 10,726.74 and 4,370.40

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Solution

The fourth proportional to 7,772.82, 10,726.74 and 4,370.40 is: 6,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.82 : 10,726.74 = 4,370.40 : x
  2. Step 2: Convert to fraction form
    7,772.82/10,726.74 = 4,370.40/x
  3. Step 3: Cross multiply
    7,772.82x = 10,726.74 × 4,370.40
  4. Step 4: Simplify right side
    7,772.82x = 46,880,144.50
  5. Step 5: Solve for x
    x = 46,880,144.50/7,772.82
  6. Step 6: Final answer
    x = 6,031.29

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