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Finding the Fourth Proportional to 7,774.81, 11,664.05 and 6,612.77

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Solution

The fourth proportional to 7,774.81, 11,664.05 and 6,612.77 is: 9,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.81 : 11,664.05 = 6,612.77 : x
  2. Step 2: Convert to fraction form
    7,774.81/11,664.05 = 6,612.77/x
  3. Step 3: Cross multiply
    7,774.81x = 11,664.05 × 6,612.77
  4. Step 4: Simplify right side
    7,774.81x = 77,131,676.01
  5. Step 5: Solve for x
    x = 77,131,676.01/7,774.81
  6. Step 6: Final answer
    x = 9,920.72

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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.