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Finding the Fourth Proportional to 7,690.22, 10,612.71 and 4,706

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Solution

The fourth proportional to 7,690.22, 10,612.71 and 4,706 is: 6,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.22 : 10,612.71 = 4,706 : x
  2. Step 2: Convert to fraction form
    7,690.22/10,612.71 = 4,706/x
  3. Step 3: Cross multiply
    7,690.22x = 10,612.71 × 4,706
  4. Step 4: Simplify right side
    7,690.22x = 49,943,413.26
  5. Step 5: Solve for x
    x = 49,943,413.26/7,690.22
  6. Step 6: Final answer
    x = 6,494.41

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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.