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Finding the Fourth Proportional to 19,953.50, 27,537.23 and 11,457

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Solution

The fourth proportional to 19,953.50, 27,537.23 and 11,457 is: 15,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.50 : 27,537.23 = 11,457 : x
  2. Step 2: Convert to fraction form
    19,953.50/27,537.23 = 11,457/x
  3. Step 3: Cross multiply
    19,953.50x = 27,537.23 × 11,457
  4. Step 4: Simplify right side
    19,953.50x = 315,494,072.75
  5. Step 5: Solve for x
    x = 315,494,072.75/19,953.50
  6. Step 6: Final answer
    x = 15,811.47

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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.