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Finding the Fourth Proportional to 10,595.78, 15,893.78 and 3,200.30

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Solution

The fourth proportional to 10,595.78, 15,893.78 and 3,200.30 is: 4,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.78 : 15,893.78 = 3,200.30 : x
  2. Step 2: Convert to fraction form
    10,595.78/15,893.78 = 3,200.30/x
  3. Step 3: Cross multiply
    10,595.78x = 15,893.78 × 3,200.30
  4. Step 4: Simplify right side
    10,595.78x = 50,864,864.13
  5. Step 5: Solve for x
    x = 50,864,864.13/10,595.78
  6. Step 6: Final answer
    x = 4,800.48

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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.