Home / 4,122-5,688.52-2,259.12

Finding the Fourth Proportional to 4,122, 5,688.52 and 2,259.12

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Solution

The fourth proportional to 4,122, 5,688.52 and 2,259.12 is: 3,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,688.52 = 2,259.12 : x
  2. Step 2: Convert to fraction form
    4,122/5,688.52 = 2,259.12/x
  3. Step 3: Cross multiply
    4,122x = 5,688.52 × 2,259.12
  4. Step 4: Simplify right side
    4,122x = 12,851,049.30
  5. Step 5: Solve for x
    x = 12,851,049.30/4,122
  6. Step 6: Final answer
    x = 3,117.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.