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Finding the Fourth Proportional to 7,988, 11,026.32 and 4,676

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Solution

The fourth proportional to 7,988, 11,026.32 and 4,676 is: 6,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988 : 11,026.32 = 4,676 : x
  2. Step 2: Convert to fraction form
    7,988/11,026.32 = 4,676/x
  3. Step 3: Cross multiply
    7,988x = 11,026.32 × 4,676
  4. Step 4: Simplify right side
    7,988x = 51,559,072.32
  5. Step 5: Solve for x
    x = 51,559,072.32/7,988
  6. Step 6: Final answer
    x = 6,454.57

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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.