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Finding the Fourth Proportional to 1,567.37, 2,163.05 and 938.00

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Solution

The fourth proportional to 1,567.37, 2,163.05 and 938.00 is: 1,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.37 : 2,163.05 = 938.00 : x
  2. Step 2: Convert to fraction form
    1,567.37/2,163.05 = 938.00/x
  3. Step 3: Cross multiply
    1,567.37x = 2,163.05 × 938.00
  4. Step 4: Simplify right side
    1,567.37x = 2,028,925.39
  5. Step 5: Solve for x
    x = 2,028,925.39/1,567.37
  6. Step 6: Final answer
    x = 1,294.48

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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.