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Finding the Fourth Proportional to 17,830.40, 26,774.40 and 10,440.80

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Solution

The fourth proportional to 17,830.40, 26,774.40 and 10,440.80 is: 15,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.40 : 26,774.40 = 10,440.80 : x
  2. Step 2: Convert to fraction form
    17,830.40/26,774.40 = 10,440.80/x
  3. Step 3: Cross multiply
    17,830.40x = 26,774.40 × 10,440.80
  4. Step 4: Simplify right side
    17,830.40x = 279,546,155.52
  5. Step 5: Solve for x
    x = 279,546,155.52/17,830.40
  6. Step 6: Final answer
    x = 15,678.06

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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.