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Finding the Fourth Proportional to 9,980.10, 14,970.04 and 3,824.10

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Solution

The fourth proportional to 9,980.10, 14,970.04 and 3,824.10 is: 5,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.10 : 14,970.04 = 3,824.10 : x
  2. Step 2: Convert to fraction form
    9,980.10/14,970.04 = 3,824.10/x
  3. Step 3: Cross multiply
    9,980.10x = 14,970.04 × 3,824.10
  4. Step 4: Simplify right side
    9,980.10x = 57,246,929.96
  5. Step 5: Solve for x
    x = 57,246,929.96/9,980.10
  6. Step 6: Final answer
    x = 5,736.11

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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.