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Finding the Fourth Proportional to 2,124.93, 3,186.91 and 808.22

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Solution

The fourth proportional to 2,124.93, 3,186.91 and 808.22 is: 1,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.93 : 3,186.91 = 808.22 : x
  2. Step 2: Convert to fraction form
    2,124.93/3,186.91 = 808.22/x
  3. Step 3: Cross multiply
    2,124.93x = 3,186.91 × 808.22
  4. Step 4: Simplify right side
    2,124.93x = 2,575,710.99
  5. Step 5: Solve for x
    x = 2,575,710.99/2,124.93
  6. Step 6: Final answer
    x = 1,212.14

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1.5x scale

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.