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Finding the Fourth Proportional to 11,600.78, 16,008.28 and 6,564.88

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Solution

The fourth proportional to 11,600.78, 16,008.28 and 6,564.88 is: 9,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.78 : 16,008.28 = 6,564.88 : x
  2. Step 2: Convert to fraction form
    11,600.78/16,008.28 = 6,564.88/x
  3. Step 3: Cross multiply
    11,600.78x = 16,008.28 × 6,564.88
  4. Step 4: Simplify right side
    11,600.78x = 105,092,380.77
  5. Step 5: Solve for x
    x = 105,092,380.77/11,600.78
  6. Step 6: Final answer
    x = 9,059.08

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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.