Home / 1,421.51-2,133.81-976.82

Finding the Fourth Proportional to 1,421.51, 2,133.81 and 976.82

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Solution

The fourth proportional to 1,421.51, 2,133.81 and 976.82 is: 1,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.51 : 2,133.81 = 976.82 : x
  2. Step 2: Convert to fraction form
    1,421.51/2,133.81 = 976.82/x
  3. Step 3: Cross multiply
    1,421.51x = 2,133.81 × 976.82
  4. Step 4: Simplify right side
    1,421.51x = 2,084,337.62
  5. Step 5: Solve for x
    x = 2,084,337.62/1,421.51
  6. Step 6: Final answer
    x = 1,466.29

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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.