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Finding the Fourth Proportional to 11,777.88, 16,247.28 and 7,300.20

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Solution

The fourth proportional to 11,777.88, 16,247.28 and 7,300.20 is: 10,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.88 : 16,247.28 = 7,300.20 : x
  2. Step 2: Convert to fraction form
    11,777.88/16,247.28 = 7,300.20/x
  3. Step 3: Cross multiply
    11,777.88x = 16,247.28 × 7,300.20
  4. Step 4: Simplify right side
    11,777.88x = 118,608,393.46
  5. Step 5: Solve for x
    x = 118,608,393.46/11,777.88
  6. Step 6: Final answer
    x = 10,070.44

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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.