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Finding the Fourth Proportional to 5,349.92, 7,384.94 and 4,789.40

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Solution

The fourth proportional to 5,349.92, 7,384.94 and 4,789.40 is: 6,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.92 : 7,384.94 = 4,789.40 : x
  2. Step 2: Convert to fraction form
    5,349.92/7,384.94 = 4,789.40/x
  3. Step 3: Cross multiply
    5,349.92x = 7,384.94 × 4,789.40
  4. Step 4: Simplify right side
    5,349.92x = 35,369,370.76
  5. Step 5: Solve for x
    x = 35,369,370.76/5,349.92
  6. Step 6: Final answer
    x = 6,611.20

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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.