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Finding the Fourth Proportional to 1,502.08, 2,072.66 and 838.92

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Solution

The fourth proportional to 1,502.08, 2,072.66 and 838.92 is: 1,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.08 : 2,072.66 = 838.92 : x
  2. Step 2: Convert to fraction form
    1,502.08/2,072.66 = 838.92/x
  3. Step 3: Cross multiply
    1,502.08x = 2,072.66 × 838.92
  4. Step 4: Simplify right side
    1,502.08x = 1,738,799.51
  5. Step 5: Solve for x
    x = 1,738,799.51/1,502.08
  6. Step 6: Final answer
    x = 1,157.60

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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.