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Finding the Fourth Proportional to 21,477, 29,641.50 and 13,098.36

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Solution

The fourth proportional to 21,477, 29,641.50 and 13,098.36 is: 18,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477 : 29,641.50 = 13,098.36 : x
  2. Step 2: Convert to fraction form
    21,477/29,641.50 = 13,098.36/x
  3. Step 3: Cross multiply
    21,477x = 29,641.50 × 13,098.36
  4. Step 4: Simplify right side
    21,477x = 388,255,037.94
  5. Step 5: Solve for x
    x = 388,255,037.94/21,477
  6. Step 6: Final answer
    x = 18,077.71

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1.5x scale

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.