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Finding the Fourth Proportional to 7,814.44, 11,638.97 and 7,776.76

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Solution

The fourth proportional to 7,814.44, 11,638.97 and 7,776.76 is: 11,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.44 : 11,638.97 = 7,776.76 : x
  2. Step 2: Convert to fraction form
    7,814.44/11,638.97 = 7,776.76/x
  3. Step 3: Cross multiply
    7,814.44x = 11,638.97 × 7,776.76
  4. Step 4: Simplify right side
    7,814.44x = 90,513,476.34
  5. Step 5: Solve for x
    x = 90,513,476.34/7,814.44
  6. Step 6: Final answer
    x = 11,582.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.