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Finding the Fourth Proportional to 8,605.76, 12,883.42 and 6,533.88

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Solution

The fourth proportional to 8,605.76, 12,883.42 and 6,533.88 is: 9,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.76 : 12,883.42 = 6,533.88 : x
  2. Step 2: Convert to fraction form
    8,605.76/12,883.42 = 6,533.88/x
  3. Step 3: Cross multiply
    8,605.76x = 12,883.42 × 6,533.88
  4. Step 4: Simplify right side
    8,605.76x = 84,178,655.85
  5. Step 5: Solve for x
    x = 84,178,655.85/8,605.76
  6. Step 6: Final answer
    x = 9,781.67

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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.