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Finding the Fourth Proportional to 7,814.79, 11,777.04 and 7,035.57

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Solution

The fourth proportional to 7,814.79, 11,777.04 and 7,035.57 is: 10,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.79 : 11,777.04 = 7,035.57 : x
  2. Step 2: Convert to fraction form
    7,814.79/11,777.04 = 7,035.57/x
  3. Step 3: Cross multiply
    7,814.79x = 11,777.04 × 7,035.57
  4. Step 4: Simplify right side
    7,814.79x = 82,858,189.31
  5. Step 5: Solve for x
    x = 82,858,189.31/7,814.79
  6. Step 6: Final answer
    x = 10,602.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.