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Finding the Fourth Proportional to 8,472.02, 11,682.23 and 7,127.28

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Solution

The fourth proportional to 8,472.02, 11,682.23 and 7,127.28 is: 9,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.02 : 11,682.23 = 7,127.28 : x
  2. Step 2: Convert to fraction form
    8,472.02/11,682.23 = 7,127.28/x
  3. Step 3: Cross multiply
    8,472.02x = 11,682.23 × 7,127.28
  4. Step 4: Simplify right side
    8,472.02x = 83,262,488.60
  5. Step 5: Solve for x
    x = 83,262,488.60/8,472.02
  6. Step 6: Final answer
    x = 9,827.94

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1.5x scale

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.