Home / 5,116-7,678.32-2,038

Finding the Fourth Proportional to 5,116, 7,678.32 and 2,038

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Solution

The fourth proportional to 5,116, 7,678.32 and 2,038 is: 3,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116 : 7,678.32 = 2,038 : x
  2. Step 2: Convert to fraction form
    5,116/7,678.32 = 2,038/x
  3. Step 3: Cross multiply
    5,116x = 7,678.32 × 2,038
  4. Step 4: Simplify right side
    5,116x = 15,648,416.16
  5. Step 5: Solve for x
    x = 15,648,416.16/5,116
  6. Step 6: Final answer
    x = 3,058.72

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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.