Home / 4,122-5,688.36-2,258.96

Finding the Fourth Proportional to 4,122, 5,688.36 and 2,258.96

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Solution

The fourth proportional to 4,122, 5,688.36 and 2,258.96 is: 3,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,688.36 = 2,258.96 : x
  2. Step 2: Convert to fraction form
    4,122/5,688.36 = 2,258.96/x
  3. Step 3: Cross multiply
    4,122x = 5,688.36 × 2,258.96
  4. Step 4: Simplify right side
    4,122x = 12,849,777.71
  5. Step 5: Solve for x
    x = 12,849,777.71/4,122
  6. Step 6: Final answer
    x = 3,117.36

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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.