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Finding the Fourth Proportional to 21,305.32, 31,962.08 and 9,618.54

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Solution

The fourth proportional to 21,305.32, 31,962.08 and 9,618.54 is: 14,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.32 : 31,962.08 = 9,618.54 : x
  2. Step 2: Convert to fraction form
    21,305.32/31,962.08 = 9,618.54/x
  3. Step 3: Cross multiply
    21,305.32x = 31,962.08 × 9,618.54
  4. Step 4: Simplify right side
    21,305.32x = 307,428,544.96
  5. Step 5: Solve for x
    x = 307,428,544.96/21,305.32
  6. Step 6: Final answer
    x = 14,429.66

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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.