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Finding the Fourth Proportional to 7,776.81, 11,636.50 and 4,659.02

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Solution

The fourth proportional to 7,776.81, 11,636.50 and 4,659.02 is: 6,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.81 : 11,636.50 = 4,659.02 : x
  2. Step 2: Convert to fraction form
    7,776.81/11,636.50 = 4,659.02/x
  3. Step 3: Cross multiply
    7,776.81x = 11,636.50 × 4,659.02
  4. Step 4: Simplify right side
    7,776.81x = 54,214,628.05
  5. Step 5: Solve for x
    x = 54,214,628.05/7,776.81
  6. Step 6: Final answer
    x = 6,971.32

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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.