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Finding the Fourth Proportional to 8,584.76, 12,852.84 and 5,457

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Solution

The fourth proportional to 8,584.76, 12,852.84 and 5,457 is: 8,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.76 : 12,852.84 = 5,457 : x
  2. Step 2: Convert to fraction form
    8,584.76/12,852.84 = 5,457/x
  3. Step 3: Cross multiply
    8,584.76x = 12,852.84 × 5,457
  4. Step 4: Simplify right side
    8,584.76x = 70,137,947.88
  5. Step 5: Solve for x
    x = 70,137,947.88/8,584.76
  6. Step 6: Final answer
    x = 8,170.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.