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Finding the Fourth Proportional to 8,578.13, 12,871.02 and 5,457.30

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Solution

The fourth proportional to 8,578.13, 12,871.02 and 5,457.30 is: 8,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.13 : 12,871.02 = 5,457.30 : x
  2. Step 2: Convert to fraction form
    8,578.13/12,871.02 = 5,457.30/x
  3. Step 3: Cross multiply
    8,578.13x = 12,871.02 × 5,457.30
  4. Step 4: Simplify right side
    8,578.13x = 70,241,017.45
  5. Step 5: Solve for x
    x = 70,241,017.45/8,578.13
  6. Step 6: Final answer
    x = 8,188.38

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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.