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Finding the Fourth Proportional to 10,287.81, 15,449.94 and 9,464.31

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Solution

The fourth proportional to 10,287.81, 15,449.94 and 9,464.31 is: 14,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.81 : 15,449.94 = 9,464.31 : x
  2. Step 2: Convert to fraction form
    10,287.81/15,449.94 = 9,464.31/x
  3. Step 3: Cross multiply
    10,287.81x = 15,449.94 × 9,464.31
  4. Step 4: Simplify right side
    10,287.81x = 146,223,021.64
  5. Step 5: Solve for x
    x = 146,223,021.64/10,287.81
  6. Step 6: Final answer
    x = 14,213.23

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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.