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Finding the Fourth Proportional to 7,461.58, 11,192.76 and 1,914.98

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Solution

The fourth proportional to 7,461.58, 11,192.76 and 1,914.98 is: 2,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.58 : 11,192.76 = 1,914.98 : x
  2. Step 2: Convert to fraction form
    7,461.58/11,192.76 = 1,914.98/x
  3. Step 3: Cross multiply
    7,461.58x = 11,192.76 × 1,914.98
  4. Step 4: Simplify right side
    7,461.58x = 21,433,911.54
  5. Step 5: Solve for x
    x = 21,433,911.54/7,461.58
  6. Step 6: Final answer
    x = 2,872.57

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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.