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Finding the Fourth Proportional to 8,526.42, 12,809.07 and 8,176.50

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Solution

The fourth proportional to 8,526.42, 12,809.07 and 8,176.50 is: 12,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.42 : 12,809.07 = 8,176.50 : x
  2. Step 2: Convert to fraction form
    8,526.42/12,809.07 = 8,176.50/x
  3. Step 3: Cross multiply
    8,526.42x = 12,809.07 × 8,176.50
  4. Step 4: Simplify right side
    8,526.42x = 104,733,360.86
  5. Step 5: Solve for x
    x = 104,733,360.86/8,526.42
  6. Step 6: Final answer
    x = 12,283.39

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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.