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Finding the Fourth Proportional to 9,917, 14,881.26 and 4,445

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Solution

The fourth proportional to 9,917, 14,881.26 and 4,445 is: 6,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917 : 14,881.26 = 4,445 : x
  2. Step 2: Convert to fraction form
    9,917/14,881.26 = 4,445/x
  3. Step 3: Cross multiply
    9,917x = 14,881.26 × 4,445
  4. Step 4: Simplify right side
    9,917x = 66,147,200.70
  5. Step 5: Solve for x
    x = 66,147,200.70/9,917
  6. Step 6: Final answer
    x = 6,670.08

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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.