Home / 20,802.96-31,184.76-6,942

Finding the Fourth Proportional to 20,802.96, 31,184.76 and 6,942

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Solution

The fourth proportional to 20,802.96, 31,184.76 and 6,942 is: 10,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.96 : 31,184.76 = 6,942 : x
  2. Step 2: Convert to fraction form
    20,802.96/31,184.76 = 6,942/x
  3. Step 3: Cross multiply
    20,802.96x = 31,184.76 × 6,942
  4. Step 4: Simplify right side
    20,802.96x = 216,484,603.92
  5. Step 5: Solve for x
    x = 216,484,603.92/20,802.96
  6. Step 6: Final answer
    x = 10,406.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.