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Finding the Fourth Proportional to 14,288.75, 21,434.53 and 4,927.54

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Solution

The fourth proportional to 14,288.75, 21,434.53 and 4,927.54 is: 7,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.75 : 21,434.53 = 4,927.54 : x
  2. Step 2: Convert to fraction form
    14,288.75/21,434.53 = 4,927.54/x
  3. Step 3: Cross multiply
    14,288.75x = 21,434.53 × 4,927.54
  4. Step 4: Simplify right side
    14,288.75x = 105,619,536.91
  5. Step 5: Solve for x
    x = 105,619,536.91/14,288.75
  6. Step 6: Final answer
    x = 7,391.80

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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.