Home / 10,823.87-16,237.80-3,430.19

Finding the Fourth Proportional to 10,823.87, 16,237.80 and 3,430.19

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Solution

The fourth proportional to 10,823.87, 16,237.80 and 3,430.19 is: 5,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.87 : 16,237.80 = 3,430.19 : x
  2. Step 2: Convert to fraction form
    10,823.87/16,237.80 = 3,430.19/x
  3. Step 3: Cross multiply
    10,823.87x = 16,237.80 × 3,430.19
  4. Step 4: Simplify right side
    10,823.87x = 55,698,657.99
  5. Step 5: Solve for x
    x = 55,698,657.99/10,823.87
  6. Step 6: Final answer
    x = 5,145.91

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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.