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Finding the Fourth Proportional to 14,965.29, 20,651.49 and 8,159.40

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Solution

The fourth proportional to 14,965.29, 20,651.49 and 8,159.40 is: 11,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.29 : 20,651.49 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    14,965.29/20,651.49 = 8,159.40/x
  3. Step 3: Cross multiply
    14,965.29x = 20,651.49 × 8,159.40
  4. Step 4: Simplify right side
    14,965.29x = 168,503,767.51
  5. Step 5: Solve for x
    x = 168,503,767.51/14,965.29
  6. Step 6: Final answer
    x = 11,259.64

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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.