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Finding the Fourth Proportional to 1,214.12, 1,820.96 and 1,010

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Solution

The fourth proportional to 1,214.12, 1,820.96 and 1,010 is: 1,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.12 : 1,820.96 = 1,010 : x
  2. Step 2: Convert to fraction form
    1,214.12/1,820.96 = 1,010/x
  3. Step 3: Cross multiply
    1,214.12x = 1,820.96 × 1,010
  4. Step 4: Simplify right side
    1,214.12x = 1,839,169.60
  5. Step 5: Solve for x
    x = 1,839,169.60/1,214.12
  6. Step 6: Final answer
    x = 1,514.82

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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.