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Finding the Fourth Proportional to 12,653.56, 18,991.80 and 6,417.90

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Solution

The fourth proportional to 12,653.56, 18,991.80 and 6,417.90 is: 9,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.56 : 18,991.80 = 6,417.90 : x
  2. Step 2: Convert to fraction form
    12,653.56/18,991.80 = 6,417.90/x
  3. Step 3: Cross multiply
    12,653.56x = 18,991.80 × 6,417.90
  4. Step 4: Simplify right side
    12,653.56x = 121,887,473.22
  5. Step 5: Solve for x
    x = 121,887,473.22/12,653.56
  6. Step 6: Final answer
    x = 9,632.66

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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.