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Finding the Fourth Proportional to 7,461.32, 11,191.70 and 1,914.70

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Solution

The fourth proportional to 7,461.32, 11,191.70 and 1,914.70 is: 2,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.32 : 11,191.70 = 1,914.70 : x
  2. Step 2: Convert to fraction form
    7,461.32/11,191.70 = 1,914.70/x
  3. Step 3: Cross multiply
    7,461.32x = 11,191.70 × 1,914.70
  4. Step 4: Simplify right side
    7,461.32x = 21,428,747.99
  5. Step 5: Solve for x
    x = 21,428,747.99/7,461.32
  6. Step 6: Final answer
    x = 2,871.98

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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.