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Finding the Fourth Proportional to 8,315.64, 11,477.01 and 7,941.96

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Solution

The fourth proportional to 8,315.64, 11,477.01 and 7,941.96 is: 10,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.64 : 11,477.01 = 7,941.96 : x
  2. Step 2: Convert to fraction form
    8,315.64/11,477.01 = 7,941.96/x
  3. Step 3: Cross multiply
    8,315.64x = 11,477.01 × 7,941.96
  4. Step 4: Simplify right side
    8,315.64x = 91,149,954.34
  5. Step 5: Solve for x
    x = 91,149,954.34/8,315.64
  6. Step 6: Final answer
    x = 10,961.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.