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Finding the Fourth Proportional to 13,305.65, 18,362.64 and 7,642.20

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Solution

The fourth proportional to 13,305.65, 18,362.64 and 7,642.20 is: 10,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.65 : 18,362.64 = 7,642.20 : x
  2. Step 2: Convert to fraction form
    13,305.65/18,362.64 = 7,642.20/x
  3. Step 3: Cross multiply
    13,305.65x = 18,362.64 × 7,642.20
  4. Step 4: Simplify right side
    13,305.65x = 140,330,967.41
  5. Step 5: Solve for x
    x = 140,330,967.41/13,305.65
  6. Step 6: Final answer
    x = 10,546.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.