Home / 1,502.12-2,072.22-977.96

Finding the Fourth Proportional to 1,502.12, 2,072.22 and 977.96

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Solution

The fourth proportional to 1,502.12, 2,072.22 and 977.96 is: 1,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.12 : 2,072.22 = 977.96 : x
  2. Step 2: Convert to fraction form
    1,502.12/2,072.22 = 977.96/x
  3. Step 3: Cross multiply
    1,502.12x = 2,072.22 × 977.96
  4. Step 4: Simplify right side
    1,502.12x = 2,026,548.27
  5. Step 5: Solve for x
    x = 2,026,548.27/1,502.12
  6. Step 6: Final answer
    x = 1,349.13

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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.