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Finding the Fourth Proportional to 18,097.40, 27,150.90 and 6,409.40

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Solution

The fourth proportional to 18,097.40, 27,150.90 and 6,409.40 is: 9,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.40 : 27,150.90 = 6,409.40 : x
  2. Step 2: Convert to fraction form
    18,097.40/27,150.90 = 6,409.40/x
  3. Step 3: Cross multiply
    18,097.40x = 27,150.90 × 6,409.40
  4. Step 4: Simplify right side
    18,097.40x = 174,020,978.46
  5. Step 5: Solve for x
    x = 174,020,978.46/18,097.40
  6. Step 6: Final answer
    x = 9,615.80

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1.5x scale

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.