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Finding the Fourth Proportional to 14,874.63, 20,540.88 and 9,578.76

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Solution

The fourth proportional to 14,874.63, 20,540.88 and 9,578.76 is: 13,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.63 : 20,540.88 = 9,578.76 : x
  2. Step 2: Convert to fraction form
    14,874.63/20,540.88 = 9,578.76/x
  3. Step 3: Cross multiply
    14,874.63x = 20,540.88 × 9,578.76
  4. Step 4: Simplify right side
    14,874.63x = 196,756,159.71
  5. Step 5: Solve for x
    x = 196,756,159.71/14,874.63
  6. Step 6: Final answer
    x = 13,227.63

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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.