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Finding the Fourth Proportional to 8,520.34, 11,757.95 and 4,743.50

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Solution

The fourth proportional to 8,520.34, 11,757.95 and 4,743.50 is: 6,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.34 : 11,757.95 = 4,743.50 : x
  2. Step 2: Convert to fraction form
    8,520.34/11,757.95 = 4,743.50/x
  3. Step 3: Cross multiply
    8,520.34x = 11,757.95 × 4,743.50
  4. Step 4: Simplify right side
    8,520.34x = 55,773,835.83
  5. Step 5: Solve for x
    x = 55,773,835.83/8,520.34
  6. Step 6: Final answer
    x = 6,545.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.