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Finding the Fourth Proportional to 5,384.78, 8,070.92 and 4,769.72

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Solution

The fourth proportional to 5,384.78, 8,070.92 and 4,769.72 is: 7,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.78 : 8,070.92 = 4,769.72 : x
  2. Step 2: Convert to fraction form
    5,384.78/8,070.92 = 4,769.72/x
  3. Step 3: Cross multiply
    5,384.78x = 8,070.92 × 4,769.72
  4. Step 4: Simplify right side
    5,384.78x = 38,496,028.54
  5. Step 5: Solve for x
    x = 38,496,028.54/5,384.78
  6. Step 6: Final answer
    x = 7,149.04

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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.