Home / 10,822.42-16,232.36-3,031.84

Finding the Fourth Proportional to 10,822.42, 16,232.36 and 3,031.84

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Solution

The fourth proportional to 10,822.42, 16,232.36 and 3,031.84 is: 4,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.42 : 16,232.36 = 3,031.84 : x
  2. Step 2: Convert to fraction form
    10,822.42/16,232.36 = 3,031.84/x
  3. Step 3: Cross multiply
    10,822.42x = 16,232.36 × 3,031.84
  4. Step 4: Simplify right side
    10,822.42x = 49,213,918.34
  5. Step 5: Solve for x
    x = 49,213,918.34/10,822.42
  6. Step 6: Final answer
    x = 4,547.40

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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.