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Finding the Fourth Proportional to 14,723.82, 20,319.41 and 8,437.41

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Solution

The fourth proportional to 14,723.82, 20,319.41 and 8,437.41 is: 11,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.82 : 20,319.41 = 8,437.41 : x
  2. Step 2: Convert to fraction form
    14,723.82/20,319.41 = 8,437.41/x
  3. Step 3: Cross multiply
    14,723.82x = 20,319.41 × 8,437.41
  4. Step 4: Simplify right side
    14,723.82x = 171,443,214.22
  5. Step 5: Solve for x
    x = 171,443,214.22/14,723.82
  6. Step 6: Final answer
    x = 11,643.94

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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.