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Finding the Fourth Proportional to 14,287.74, 21,436.74 and 6,389.58

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Solution

The fourth proportional to 14,287.74, 21,436.74 and 6,389.58 is: 9,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.74 : 21,436.74 = 6,389.58 : x
  2. Step 2: Convert to fraction form
    14,287.74/21,436.74 = 6,389.58/x
  3. Step 3: Cross multiply
    14,287.74x = 21,436.74 × 6,389.58
  4. Step 4: Simplify right side
    14,287.74x = 136,971,765.17
  5. Step 5: Solve for x
    x = 136,971,765.17/14,287.74
  6. Step 6: Final answer
    x = 9,586.66

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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.