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Finding the Fourth Proportional to 29,400, 40,572 and 16,152

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Solution

The fourth proportional to 29,400, 40,572 and 16,152 is: 22,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400 : 40,572 = 16,152 : x
  2. Step 2: Convert to fraction form
    29,400/40,572 = 16,152/x
  3. Step 3: Cross multiply
    29,400x = 40,572 × 16,152
  4. Step 4: Simplify right side
    29,400x = 655,318,944
  5. Step 5: Solve for x
    x = 655,318,944/29,400
  6. Step 6: Final answer
    x = 22,289.76

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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.