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Finding the Fourth Proportional to 8,123.02, 11,208.99 and 6,448.48

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Solution

The fourth proportional to 8,123.02, 11,208.99 and 6,448.48 is: 8,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.02 : 11,208.99 = 6,448.48 : x
  2. Step 2: Convert to fraction form
    8,123.02/11,208.99 = 6,448.48/x
  3. Step 3: Cross multiply
    8,123.02x = 11,208.99 × 6,448.48
  4. Step 4: Simplify right side
    8,123.02x = 72,280,947.84
  5. Step 5: Solve for x
    x = 72,280,947.84/8,123.02
  6. Step 6: Final answer
    x = 8,898.29

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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.