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Finding the Fourth Proportional to 9,999.12, 14,996.08 and 2,977.24

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Solution

The fourth proportional to 9,999.12, 14,996.08 and 2,977.24 is: 4,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.12 : 14,996.08 = 2,977.24 : x
  2. Step 2: Convert to fraction form
    9,999.12/14,996.08 = 2,977.24/x
  3. Step 3: Cross multiply
    9,999.12x = 14,996.08 × 2,977.24
  4. Step 4: Simplify right side
    9,999.12x = 44,646,929.22
  5. Step 5: Solve for x
    x = 44,646,929.22/9,999.12
  6. Step 6: Final answer
    x = 4,465.09

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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.