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Finding the Fourth Proportional to 2,012.16, 2,776 and 1,489.28

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Solution

The fourth proportional to 2,012.16, 2,776 and 1,489.28 is: 2,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.16 : 2,776 = 1,489.28 : x
  2. Step 2: Convert to fraction form
    2,012.16/2,776 = 1,489.28/x
  3. Step 3: Cross multiply
    2,012.16x = 2,776 × 1,489.28
  4. Step 4: Simplify right side
    2,012.16x = 4,134,241.28
  5. Step 5: Solve for x
    x = 4,134,241.28/2,012.16
  6. Step 6: Final answer
    x = 2,054.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.