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Finding the Fourth Proportional to 8,564.05, 12,852.93 and 8,290.68

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Solution

The fourth proportional to 8,564.05, 12,852.93 and 8,290.68 is: 12,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.05 : 12,852.93 = 8,290.68 : x
  2. Step 2: Convert to fraction form
    8,564.05/12,852.93 = 8,290.68/x
  3. Step 3: Cross multiply
    8,564.05x = 12,852.93 × 8,290.68
  4. Step 4: Simplify right side
    8,564.05x = 106,559,529.69
  5. Step 5: Solve for x
    x = 106,559,529.69/8,564.05
  6. Step 6: Final answer
    x = 12,442.66

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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.