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Finding the Fourth Proportional to 13,158, 18,158.04 and 7,270

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Solution

The fourth proportional to 13,158, 18,158.04 and 7,270 is: 10,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158 : 18,158.04 = 7,270 : x
  2. Step 2: Convert to fraction form
    13,158/18,158.04 = 7,270/x
  3. Step 3: Cross multiply
    13,158x = 18,158.04 × 7,270
  4. Step 4: Simplify right side
    13,158x = 132,008,950.80
  5. Step 5: Solve for x
    x = 132,008,950.80/13,158
  6. Step 6: Final answer
    x = 10,032.60

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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.