Home / 5,185.32-7,778-1,289.72

Finding the Fourth Proportional to 5,185.32, 7,778 and 1,289.72

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Solution

The fourth proportional to 5,185.32, 7,778 and 1,289.72 is: 1,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.32 : 7,778 = 1,289.72 : x
  2. Step 2: Convert to fraction form
    5,185.32/7,778 = 1,289.72/x
  3. Step 3: Cross multiply
    5,185.32x = 7,778 × 1,289.72
  4. Step 4: Simplify right side
    5,185.32x = 10,031,442.16
  5. Step 5: Solve for x
    x = 10,031,442.16/5,185.32
  6. Step 6: Final answer
    x = 1,934.58

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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.