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Finding the Fourth Proportional to 13,586.82, 20,365.98 and 7,655.16

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Solution

The fourth proportional to 13,586.82, 20,365.98 and 7,655.16 is: 11,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.82 : 20,365.98 = 7,655.16 : x
  2. Step 2: Convert to fraction form
    13,586.82/20,365.98 = 7,655.16/x
  3. Step 3: Cross multiply
    13,586.82x = 20,365.98 × 7,655.16
  4. Step 4: Simplify right side
    13,586.82x = 155,904,835.46
  5. Step 5: Solve for x
    x = 155,904,835.46/13,586.82
  6. Step 6: Final answer
    x = 11,474.71

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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.