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Finding the Fourth Proportional to 13,507.99, 20,262.95 and 5,188

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Solution

The fourth proportional to 13,507.99, 20,262.95 and 5,188 is: 7,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.99 : 20,262.95 = 5,188 : x
  2. Step 2: Convert to fraction form
    13,507.99/20,262.95 = 5,188/x
  3. Step 3: Cross multiply
    13,507.99x = 20,262.95 × 5,188
  4. Step 4: Simplify right side
    13,507.99x = 105,124,184.60
  5. Step 5: Solve for x
    x = 105,124,184.60/13,507.99
  6. Step 6: Final answer
    x = 7,782.37

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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.