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Finding the Fourth Proportional to 7,686.90, 10,612.08 and 5,796.36

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Solution

The fourth proportional to 7,686.90, 10,612.08 and 5,796.36 is: 8,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.90 : 10,612.08 = 5,796.36 : x
  2. Step 2: Convert to fraction form
    7,686.90/10,612.08 = 5,796.36/x
  3. Step 3: Cross multiply
    7,686.90x = 10,612.08 × 5,796.36
  4. Step 4: Simplify right side
    7,686.90x = 61,511,436.03
  5. Step 5: Solve for x
    x = 61,511,436.03/7,686.90
  6. Step 6: Final answer
    x = 8,002.11

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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.