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Finding the Fourth Proportional to 14,851.20, 20,491.20 and 9,822.72

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Solution

The fourth proportional to 14,851.20, 20,491.20 and 9,822.72 is: 13,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851.20 : 20,491.20 = 9,822.72 : x
  2. Step 2: Convert to fraction form
    14,851.20/20,491.20 = 9,822.72/x
  3. Step 3: Cross multiply
    14,851.20x = 20,491.20 × 9,822.72
  4. Step 4: Simplify right side
    14,851.20x = 201,279,320.06
  5. Step 5: Solve for x
    x = 201,279,320.06/14,851.20
  6. Step 6: Final answer
    x = 13,553.07

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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.