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Finding the Fourth Proportional to 7,707.60, 11,537.10 and 5,520.60

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Solution

The fourth proportional to 7,707.60, 11,537.10 and 5,520.60 is: 8,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.60 : 11,537.10 = 5,520.60 : x
  2. Step 2: Convert to fraction form
    7,707.60/11,537.10 = 5,520.60/x
  3. Step 3: Cross multiply
    7,707.60x = 11,537.10 × 5,520.60
  4. Step 4: Simplify right side
    7,707.60x = 63,691,714.26
  5. Step 5: Solve for x
    x = 63,691,714.26/7,707.60
  6. Step 6: Final answer
    x = 8,263.50

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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.