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Finding the Fourth Proportional to 17,878.24, 26,819.80 and 10,385.32

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Solution

The fourth proportional to 17,878.24, 26,819.80 and 10,385.32 is: 15,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.24 : 26,819.80 = 10,385.32 : x
  2. Step 2: Convert to fraction form
    17,878.24/26,819.80 = 10,385.32/x
  3. Step 3: Cross multiply
    17,878.24x = 26,819.80 × 10,385.32
  4. Step 4: Simplify right side
    17,878.24x = 278,532,205.34
  5. Step 5: Solve for x
    x = 278,532,205.34/17,878.24
  6. Step 6: Final answer
    x = 15,579.40

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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.