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Finding the Fourth Proportional to 20,752.75, 31,129.02 and 9,653.32

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Solution

The fourth proportional to 20,752.75, 31,129.02 and 9,653.32 is: 14,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.75 : 31,129.02 = 9,653.32 : x
  2. Step 2: Convert to fraction form
    20,752.75/31,129.02 = 9,653.32/x
  3. Step 3: Cross multiply
    20,752.75x = 31,129.02 × 9,653.32
  4. Step 4: Simplify right side
    20,752.75x = 300,498,313.52
  5. Step 5: Solve for x
    x = 300,498,313.52/20,752.75
  6. Step 6: Final answer
    x = 14,479.93

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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.