Home / 20,811.36-31,210.16-10,416

Finding the Fourth Proportional to 20,811.36, 31,210.16 and 10,416

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Solution

The fourth proportional to 20,811.36, 31,210.16 and 10,416 is: 15,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.36 : 31,210.16 = 10,416 : x
  2. Step 2: Convert to fraction form
    20,811.36/31,210.16 = 10,416/x
  3. Step 3: Cross multiply
    20,811.36x = 31,210.16 × 10,416
  4. Step 4: Simplify right side
    20,811.36x = 325,085,026.56
  5. Step 5: Solve for x
    x = 325,085,026.56/20,811.36
  6. Step 6: Final answer
    x = 15,620.56

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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.