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Finding the Fourth Proportional to 11,677.59, 17,493.80 and 9,780.96

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Solution

The fourth proportional to 11,677.59, 17,493.80 and 9,780.96 is: 14,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.59 : 17,493.80 = 9,780.96 : x
  2. Step 2: Convert to fraction form
    11,677.59/17,493.80 = 9,780.96/x
  3. Step 3: Cross multiply
    11,677.59x = 17,493.80 × 9,780.96
  4. Step 4: Simplify right side
    11,677.59x = 171,106,158.05
  5. Step 5: Solve for x
    x = 171,106,158.05/11,677.59
  6. Step 6: Final answer
    x = 14,652.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.