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Finding the Fourth Proportional to 5,789.70, 7,990.65 and 4,904.10

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Solution

The fourth proportional to 5,789.70, 7,990.65 and 4,904.10 is: 6,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.70 : 7,990.65 = 4,904.10 : x
  2. Step 2: Convert to fraction form
    5,789.70/7,990.65 = 4,904.10/x
  3. Step 3: Cross multiply
    5,789.70x = 7,990.65 × 4,904.10
  4. Step 4: Simplify right side
    5,789.70x = 39,186,946.67
  5. Step 5: Solve for x
    x = 39,186,946.67/5,789.70
  6. Step 6: Final answer
    x = 6,768.39

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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.