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Finding the Fourth Proportional to 14,454, 21,689.10 and 14,343.84

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Solution

The fourth proportional to 14,454, 21,689.10 and 14,343.84 is: 21,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 21,689.10 = 14,343.84 : x
  2. Step 2: Convert to fraction form
    14,454/21,689.10 = 14,343.84/x
  3. Step 3: Cross multiply
    14,454x = 21,689.10 × 14,343.84
  4. Step 4: Simplify right side
    14,454x = 311,104,980.14
  5. Step 5: Solve for x
    x = 311,104,980.14/14,454
  6. Step 6: Final answer
    x = 21,523.80

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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.