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Finding the Fourth Proportional to 8,922.79, 12,311.80 and 5,777.16

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Solution

The fourth proportional to 8,922.79, 12,311.80 and 5,777.16 is: 7,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.79 : 12,311.80 = 5,777.16 : x
  2. Step 2: Convert to fraction form
    8,922.79/12,311.80 = 5,777.16/x
  3. Step 3: Cross multiply
    8,922.79x = 12,311.80 × 5,777.16
  4. Step 4: Simplify right side
    8,922.79x = 71,127,238.49
  5. Step 5: Solve for x
    x = 71,127,238.49/8,922.79
  6. Step 6: Final answer
    x = 7,971.41

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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.