Home / 1,926.32-2,889.48-465.47

Finding the Fourth Proportional to 1,926.32, 2,889.48 and 465.47

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Solution

The fourth proportional to 1,926.32, 2,889.48 and 465.47 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.32 : 2,889.48 = 465.47 : x
  2. Step 2: Convert to fraction form
    1,926.32/2,889.48 = 465.47/x
  3. Step 3: Cross multiply
    1,926.32x = 2,889.48 × 465.47
  4. Step 4: Simplify right side
    1,926.32x = 1,344,951.81
  5. Step 5: Solve for x
    x = 1,344,951.81/1,926.32
  6. Step 6: Final answer
    x = 698.20

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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.