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Finding the Fourth Proportional to 1,232.51, 1,856.06 and 1,072.13

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Solution

The fourth proportional to 1,232.51, 1,856.06 and 1,072.13 is: 1,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.51 : 1,856.06 = 1,072.13 : x
  2. Step 2: Convert to fraction form
    1,232.51/1,856.06 = 1,072.13/x
  3. Step 3: Cross multiply
    1,232.51x = 1,856.06 × 1,072.13
  4. Step 4: Simplify right side
    1,232.51x = 1,989,937.61
  5. Step 5: Solve for x
    x = 1,989,937.61/1,232.51
  6. Step 6: Final answer
    x = 1,614.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.