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Finding the Fourth Proportional to 7,165.31, 10,746.79 and 1,900.64

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Solution

The fourth proportional to 7,165.31, 10,746.79 and 1,900.64 is: 2,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.31 : 10,746.79 = 1,900.64 : x
  2. Step 2: Convert to fraction form
    7,165.31/10,746.79 = 1,900.64/x
  3. Step 3: Cross multiply
    7,165.31x = 10,746.79 × 1,900.64
  4. Step 4: Simplify right side
    7,165.31x = 20,425,801.06
  5. Step 5: Solve for x
    x = 20,425,801.06/7,165.31
  6. Step 6: Final answer
    x = 2,850.65

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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.