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Finding the Fourth Proportional to 10,721.63, 14,785.02 and 8,267.41

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Solution

The fourth proportional to 10,721.63, 14,785.02 and 8,267.41 is: 11,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.63 : 14,785.02 = 8,267.41 : x
  2. Step 2: Convert to fraction form
    10,721.63/14,785.02 = 8,267.41/x
  3. Step 3: Cross multiply
    10,721.63x = 14,785.02 × 8,267.41
  4. Step 4: Simplify right side
    10,721.63x = 122,233,822.20
  5. Step 5: Solve for x
    x = 122,233,822.20/10,721.63
  6. Step 6: Final answer
    x = 11,400.68

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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.