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Finding the Fourth Proportional to 1,501.61, 2,072.14 and 838.51

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Solution

The fourth proportional to 1,501.61, 2,072.14 and 838.51 is: 1,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.61 : 2,072.14 = 838.51 : x
  2. Step 2: Convert to fraction form
    1,501.61/2,072.14 = 838.51/x
  3. Step 3: Cross multiply
    1,501.61x = 2,072.14 × 838.51
  4. Step 4: Simplify right side
    1,501.61x = 1,737,497.38
  5. Step 5: Solve for x
    x = 1,737,497.38/1,501.61
  6. Step 6: Final answer
    x = 1,157.09

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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.