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Finding the Fourth Proportional to 5,890.47, 8,125.47 and 3,678.63

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Solution

The fourth proportional to 5,890.47, 8,125.47 and 3,678.63 is: 5,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.47 : 8,125.47 = 3,678.63 : x
  2. Step 2: Convert to fraction form
    5,890.47/8,125.47 = 3,678.63/x
  3. Step 3: Cross multiply
    5,890.47x = 8,125.47 × 3,678.63
  4. Step 4: Simplify right side
    5,890.47x = 29,890,579.31
  5. Step 5: Solve for x
    x = 29,890,579.31/5,890.47
  6. Step 6: Final answer
    x = 5,074.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.