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Finding the Fourth Proportional to 8,498.70, 11,728.68 and 5,313.98

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Solution

The fourth proportional to 8,498.70, 11,728.68 and 5,313.98 is: 7,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.70 : 11,728.68 = 5,313.98 : x
  2. Step 2: Convert to fraction form
    8,498.70/11,728.68 = 5,313.98/x
  3. Step 3: Cross multiply
    8,498.70x = 11,728.68 × 5,313.98
  4. Step 4: Simplify right side
    8,498.70x = 62,325,970.95
  5. Step 5: Solve for x
    x = 62,325,970.95/8,498.70
  6. Step 6: Final answer
    x = 7,333.59

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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.