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Finding the Fourth Proportional to 11,127, 16,690.50 and 4,971

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Solution

The fourth proportional to 11,127, 16,690.50 and 4,971 is: 7,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127 : 16,690.50 = 4,971 : x
  2. Step 2: Convert to fraction form
    11,127/16,690.50 = 4,971/x
  3. Step 3: Cross multiply
    11,127x = 16,690.50 × 4,971
  4. Step 4: Simplify right side
    11,127x = 82,968,475.50
  5. Step 5: Solve for x
    x = 82,968,475.50/11,127
  6. Step 6: Final answer
    x = 7,456.50

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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.