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Finding the Fourth Proportional to 5,424.60, 8,128.80 and 4,598.40

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Solution

The fourth proportional to 5,424.60, 8,128.80 and 4,598.40 is: 6,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.60 : 8,128.80 = 4,598.40 : x
  2. Step 2: Convert to fraction form
    5,424.60/8,128.80 = 4,598.40/x
  3. Step 3: Cross multiply
    5,424.60x = 8,128.80 × 4,598.40
  4. Step 4: Simplify right side
    5,424.60x = 37,379,473.92
  5. Step 5: Solve for x
    x = 37,379,473.92/5,424.60
  6. Step 6: Final answer
    x = 6,890.73

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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.