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Finding the Fourth Proportional to 11,655.90, 16,056.90 and 8,666.46

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Solution

The fourth proportional to 11,655.90, 16,056.90 and 8,666.46 is: 11,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.90 : 16,056.90 = 8,666.46 : x
  2. Step 2: Convert to fraction form
    11,655.90/16,056.90 = 8,666.46/x
  3. Step 3: Cross multiply
    11,655.90x = 16,056.90 × 8,666.46
  4. Step 4: Simplify right side
    11,655.90x = 139,156,481.57
  5. Step 5: Solve for x
    x = 139,156,481.57/11,655.90
  6. Step 6: Final answer
    x = 11,938.72

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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.