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Finding the Fourth Proportional to 9,011.80, 13,507.80 and 3,165.40

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Solution

The fourth proportional to 9,011.80, 13,507.80 and 3,165.40 is: 4,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.80 : 13,507.80 = 3,165.40 : x
  2. Step 2: Convert to fraction form
    9,011.80/13,507.80 = 3,165.40/x
  3. Step 3: Cross multiply
    9,011.80x = 13,507.80 × 3,165.40
  4. Step 4: Simplify right side
    9,011.80x = 42,757,590.12
  5. Step 5: Solve for x
    x = 42,757,590.12/9,011.80
  6. Step 6: Final answer
    x = 4,744.62

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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.