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Finding the Fourth Proportional to 8,580.96, 12,864.14 and 8,172.72

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Solution

The fourth proportional to 8,580.96, 12,864.14 and 8,172.72 is: 12,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.96 : 12,864.14 = 8,172.72 : x
  2. Step 2: Convert to fraction form
    8,580.96/12,864.14 = 8,172.72/x
  3. Step 3: Cross multiply
    8,580.96x = 12,864.14 × 8,172.72
  4. Step 4: Simplify right side
    8,580.96x = 105,135,014.26
  5. Step 5: Solve for x
    x = 105,135,014.26/8,580.96
  6. Step 6: Final answer
    x = 12,252.13

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1.5x scale

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.