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Finding the Fourth Proportional to 14,008.50, 21,012.93 and 4,774.50

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Solution

The fourth proportional to 14,008.50, 21,012.93 and 4,774.50 is: 7,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.50 : 21,012.93 = 4,774.50 : x
  2. Step 2: Convert to fraction form
    14,008.50/21,012.93 = 4,774.50/x
  3. Step 3: Cross multiply
    14,008.50x = 21,012.93 × 4,774.50
  4. Step 4: Simplify right side
    14,008.50x = 100,326,234.29
  5. Step 5: Solve for x
    x = 100,326,234.29/14,008.50
  6. Step 6: Final answer
    x = 7,161.81

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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.