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Finding the Fourth Proportional to 21,303.57, 29,375.85 and 14,502

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Solution

The fourth proportional to 21,303.57, 29,375.85 and 14,502 is: 19,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.57 : 29,375.85 = 14,502 : x
  2. Step 2: Convert to fraction form
    21,303.57/29,375.85 = 14,502/x
  3. Step 3: Cross multiply
    21,303.57x = 29,375.85 × 14,502
  4. Step 4: Simplify right side
    21,303.57x = 426,008,576.70
  5. Step 5: Solve for x
    x = 426,008,576.70/21,303.57
  6. Step 6: Final answer
    x = 19,997.05

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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.