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Finding the Fourth Proportional to 14,492, 20,021.24 and 12,389.44

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Solution

The fourth proportional to 14,492, 20,021.24 and 12,389.44 is: 17,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492 : 20,021.24 = 12,389.44 : x
  2. Step 2: Convert to fraction form
    14,492/20,021.24 = 12,389.44/x
  3. Step 3: Cross multiply
    14,492x = 20,021.24 × 12,389.44
  4. Step 4: Simplify right side
    14,492x = 248,051,951.71
  5. Step 5: Solve for x
    x = 248,051,951.71/14,492
  6. Step 6: Final answer
    x = 17,116.47

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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.