Home / 1,214.63-1,821.47-521.61

Finding the Fourth Proportional to 1,214.63, 1,821.47 and 521.61

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Solution

The fourth proportional to 1,214.63, 1,821.47 and 521.61 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.63 : 1,821.47 = 521.61 : x
  2. Step 2: Convert to fraction form
    1,214.63/1,821.47 = 521.61/x
  3. Step 3: Cross multiply
    1,214.63x = 1,821.47 × 521.61
  4. Step 4: Simplify right side
    1,214.63x = 950,094.36
  5. Step 5: Solve for x
    x = 950,094.36/1,214.63
  6. Step 6: Final answer
    x = 782.21

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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.