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Finding the Fourth Proportional to 7,804.92, 11,700.78 and 3,642.74

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Solution

The fourth proportional to 7,804.92, 11,700.78 and 3,642.74 is: 5,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.92 : 11,700.78 = 3,642.74 : x
  2. Step 2: Convert to fraction form
    7,804.92/11,700.78 = 3,642.74/x
  3. Step 3: Cross multiply
    7,804.92x = 11,700.78 × 3,642.74
  4. Step 4: Simplify right side
    7,804.92x = 42,622,840.83
  5. Step 5: Solve for x
    x = 42,622,840.83/7,804.92
  6. Step 6: Final answer
    x = 5,461.02

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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.