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Finding the Fourth Proportional to 14,121, 21,181.50 and 4,887

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Solution

The fourth proportional to 14,121, 21,181.50 and 4,887 is: 7,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 21,181.50 = 4,887 : x
  2. Step 2: Convert to fraction form
    14,121/21,181.50 = 4,887/x
  3. Step 3: Cross multiply
    14,121x = 21,181.50 × 4,887
  4. Step 4: Simplify right side
    14,121x = 103,513,990.50
  5. Step 5: Solve for x
    x = 103,513,990.50/14,121
  6. Step 6: Final answer
    x = 7,330.50

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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.