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Finding the Fourth Proportional to 8,973.57, 13,434.75 and 7,127.31

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Solution

The fourth proportional to 8,973.57, 13,434.75 and 7,127.31 is: 10,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.57 : 13,434.75 = 7,127.31 : x
  2. Step 2: Convert to fraction form
    8,973.57/13,434.75 = 7,127.31/x
  3. Step 3: Cross multiply
    8,973.57x = 13,434.75 × 7,127.31
  4. Step 4: Simplify right side
    8,973.57x = 95,753,628.02
  5. Step 5: Solve for x
    x = 95,753,628.02/8,973.57
  6. Step 6: Final answer
    x = 10,670.63

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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.