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Finding the Fourth Proportional to 5,128.73, 7,693.52 and 1,431

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Solution

The fourth proportional to 5,128.73, 7,693.52 and 1,431 is: 2,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.73 : 7,693.52 = 1,431 : x
  2. Step 2: Convert to fraction form
    5,128.73/7,693.52 = 1,431/x
  3. Step 3: Cross multiply
    5,128.73x = 7,693.52 × 1,431
  4. Step 4: Simplify right side
    5,128.73x = 11,009,427.12
  5. Step 5: Solve for x
    x = 11,009,427.12/5,128.73
  6. Step 6: Final answer
    x = 2,146.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.