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Finding the Fourth Proportional to 4,980.84, 7,469.80 and 3,590

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Solution

The fourth proportional to 4,980.84, 7,469.80 and 3,590 is: 5,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.84 : 7,469.80 = 3,590 : x
  2. Step 2: Convert to fraction form
    4,980.84/7,469.80 = 3,590/x
  3. Step 3: Cross multiply
    4,980.84x = 7,469.80 × 3,590
  4. Step 4: Simplify right side
    4,980.84x = 26,816,582
  5. Step 5: Solve for x
    x = 26,816,582/4,980.84
  6. Step 6: Final answer
    x = 5,383.95

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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.