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Finding the Fourth Proportional to 12,914.75, 17,807.68 and 11,655.41

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Solution

The fourth proportional to 12,914.75, 17,807.68 and 11,655.41 is: 16,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.75 : 17,807.68 = 11,655.41 : x
  2. Step 2: Convert to fraction form
    12,914.75/17,807.68 = 11,655.41/x
  3. Step 3: Cross multiply
    12,914.75x = 17,807.68 × 11,655.41
  4. Step 4: Simplify right side
    12,914.75x = 207,555,737.08
  5. Step 5: Solve for x
    x = 207,555,737.08/12,914.75
  6. Step 6: Final answer
    x = 16,071.21

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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.