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Finding the Fourth Proportional to 8,157.84, 11,264.70 and 5,178.96

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Solution

The fourth proportional to 8,157.84, 11,264.70 and 5,178.96 is: 7,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.84 : 11,264.70 = 5,178.96 : x
  2. Step 2: Convert to fraction form
    8,157.84/11,264.70 = 5,178.96/x
  3. Step 3: Cross multiply
    8,157.84x = 11,264.70 × 5,178.96
  4. Step 4: Simplify right side
    8,157.84x = 58,339,430.71
  5. Step 5: Solve for x
    x = 58,339,430.71/8,157.84
  6. Step 6: Final answer
    x = 7,151.33

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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.