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Finding the Fourth Proportional to 13,160, 18,160.80 and 7,272

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Solution

The fourth proportional to 13,160, 18,160.80 and 7,272 is: 10,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160 : 18,160.80 = 7,272 : x
  2. Step 2: Convert to fraction form
    13,160/18,160.80 = 7,272/x
  3. Step 3: Cross multiply
    13,160x = 18,160.80 × 7,272
  4. Step 4: Simplify right side
    13,160x = 132,065,337.60
  5. Step 5: Solve for x
    x = 132,065,337.60/13,160
  6. Step 6: Final answer
    x = 10,035.36

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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.