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Finding the Fourth Proportional to 14,423.16, 19,902.76 and 8,454

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Solution

The fourth proportional to 14,423.16, 19,902.76 and 8,454 is: 11,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.16 : 19,902.76 = 8,454 : x
  2. Step 2: Convert to fraction form
    14,423.16/19,902.76 = 8,454/x
  3. Step 3: Cross multiply
    14,423.16x = 19,902.76 × 8,454
  4. Step 4: Simplify right side
    14,423.16x = 168,257,933.04
  5. Step 5: Solve for x
    x = 168,257,933.04/14,423.16
  6. Step 6: Final answer
    x = 11,665.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.