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Finding the Fourth Proportional to 13,153.55, 18,152.01 and 7,488

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Solution

The fourth proportional to 13,153.55, 18,152.01 and 7,488 is: 10,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.55 : 18,152.01 = 7,488 : x
  2. Step 2: Convert to fraction form
    13,153.55/18,152.01 = 7,488/x
  3. Step 3: Cross multiply
    13,153.55x = 18,152.01 × 7,488
  4. Step 4: Simplify right side
    13,153.55x = 135,922,250.88
  5. Step 5: Solve for x
    x = 135,922,250.88/13,153.55
  6. Step 6: Final answer
    x = 10,333.51

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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.