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Finding the Fourth Proportional to 13,590, 18,756.48 and 7,999.92

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Solution

The fourth proportional to 13,590, 18,756.48 and 7,999.92 is: 11,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 18,756.48 = 7,999.92 : x
  2. Step 2: Convert to fraction form
    13,590/18,756.48 = 7,999.92/x
  3. Step 3: Cross multiply
    13,590x = 18,756.48 × 7,999.92
  4. Step 4: Simplify right side
    13,590x = 150,050,339.48
  5. Step 5: Solve for x
    x = 150,050,339.48/13,590
  6. Step 6: Final answer
    x = 11,041.23

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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.