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Finding the Fourth Proportional to 9,930.10, 14,907.30 and 9,857.20

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Solution

The fourth proportional to 9,930.10, 14,907.30 and 9,857.20 is: 14,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.10 : 14,907.30 = 9,857.20 : x
  2. Step 2: Convert to fraction form
    9,930.10/14,907.30 = 9,857.20/x
  3. Step 3: Cross multiply
    9,930.10x = 14,907.30 × 9,857.20
  4. Step 4: Simplify right side
    9,930.10x = 146,944,237.56
  5. Step 5: Solve for x
    x = 146,944,237.56/9,930.10
  6. Step 6: Final answer
    x = 14,797.86

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1.5x scale

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.