Home / 23,050-31,807.11-12,975.22

Finding the Fourth Proportional to 23,050, 31,807.11 and 12,975.22

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Solution

The fourth proportional to 23,050, 31,807.11 and 12,975.22 is: 17,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050 : 31,807.11 = 12,975.22 : x
  2. Step 2: Convert to fraction form
    23,050/31,807.11 = 12,975.22/x
  3. Step 3: Cross multiply
    23,050x = 31,807.11 × 12,975.22
  4. Step 4: Simplify right side
    23,050x = 412,704,249.81
  5. Step 5: Solve for x
    x = 412,704,249.81/23,050
  6. Step 6: Final answer
    x = 17,904.74

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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.