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Finding the Fourth Proportional to 7,346, 11,019 and 6,976.88

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Solution

The fourth proportional to 7,346, 11,019 and 6,976.88 is: 10,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346 : 11,019 = 6,976.88 : x
  2. Step 2: Convert to fraction form
    7,346/11,019 = 6,976.88/x
  3. Step 3: Cross multiply
    7,346x = 11,019 × 6,976.88
  4. Step 4: Simplify right side
    7,346x = 76,878,240.72
  5. Step 5: Solve for x
    x = 76,878,240.72/7,346
  6. Step 6: Final answer
    x = 10,465.32

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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.