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Finding the Fourth Proportional to 18,271.66, 27,409.23 and 5,124

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Solution

The fourth proportional to 18,271.66, 27,409.23 and 5,124 is: 7,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.66 : 27,409.23 = 5,124 : x
  2. Step 2: Convert to fraction form
    18,271.66/27,409.23 = 5,124/x
  3. Step 3: Cross multiply
    18,271.66x = 27,409.23 × 5,124
  4. Step 4: Simplify right side
    18,271.66x = 140,444,894.52
  5. Step 5: Solve for x
    x = 140,444,894.52/18,271.66
  6. Step 6: Final answer
    x = 7,686.49

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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.