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Finding the Fourth Proportional to 14,953.76, 20,638 and 8,666.40

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Solution

The fourth proportional to 14,953.76, 20,638 and 8,666.40 is: 11,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.76 : 20,638 = 8,666.40 : x
  2. Step 2: Convert to fraction form
    14,953.76/20,638 = 8,666.40/x
  3. Step 3: Cross multiply
    14,953.76x = 20,638 × 8,666.40
  4. Step 4: Simplify right side
    14,953.76x = 178,857,163.20
  5. Step 5: Solve for x
    x = 178,857,163.20/14,953.76
  6. Step 6: Final answer
    x = 11,960.68

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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.