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Finding the Fourth Proportional to 10,671.40, 16,007.14 and 4,821.16

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Solution

The fourth proportional to 10,671.40, 16,007.14 and 4,821.16 is: 7,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.40 : 16,007.14 = 4,821.16 : x
  2. Step 2: Convert to fraction form
    10,671.40/16,007.14 = 4,821.16/x
  3. Step 3: Cross multiply
    10,671.40x = 16,007.14 × 4,821.16
  4. Step 4: Simplify right side
    10,671.40x = 77,172,983.08
  5. Step 5: Solve for x
    x = 77,172,983.08/10,671.40
  6. Step 6: Final answer
    x = 7,231.76

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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.