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Finding the Fourth Proportional to 11,657.84, 17,477.66 and 7,950.88

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Solution

The fourth proportional to 11,657.84, 17,477.66 and 7,950.88 is: 11,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.84 : 17,477.66 = 7,950.88 : x
  2. Step 2: Convert to fraction form
    11,657.84/17,477.66 = 7,950.88/x
  3. Step 3: Cross multiply
    11,657.84x = 17,477.66 × 7,950.88
  4. Step 4: Simplify right side
    11,657.84x = 138,962,777.34
  5. Step 5: Solve for x
    x = 138,962,777.34/11,657.84
  6. Step 6: Final answer
    x = 11,920.11

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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.