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Finding the Fourth Proportional to 14,911, 20,577.72 and 8,538.76

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Solution

The fourth proportional to 14,911, 20,577.72 and 8,538.76 is: 11,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911 : 20,577.72 = 8,538.76 : x
  2. Step 2: Convert to fraction form
    14,911/20,577.72 = 8,538.76/x
  3. Step 3: Cross multiply
    14,911x = 20,577.72 × 8,538.76
  4. Step 4: Simplify right side
    14,911x = 175,708,212.43
  5. Step 5: Solve for x
    x = 175,708,212.43/14,911
  6. Step 6: Final answer
    x = 11,783.80

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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.