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Finding the Fourth Proportional to 18,402, 27,607.38 and 6,090

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Solution

The fourth proportional to 18,402, 27,607.38 and 6,090 is: 9,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 27,607.38 = 6,090 : x
  2. Step 2: Convert to fraction form
    18,402/27,607.38 = 6,090/x
  3. Step 3: Cross multiply
    18,402x = 27,607.38 × 6,090
  4. Step 4: Simplify right side
    18,402x = 168,128,944.20
  5. Step 5: Solve for x
    x = 168,128,944.20/18,402
  6. Step 6: Final answer
    x = 9,136.45

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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.