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Finding the Fourth Proportional to 14,598.78, 20,142.14 and 8,223.14

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Solution

The fourth proportional to 14,598.78, 20,142.14 and 8,223.14 is: 11,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.78 : 20,142.14 = 8,223.14 : x
  2. Step 2: Convert to fraction form
    14,598.78/20,142.14 = 8,223.14/x
  3. Step 3: Cross multiply
    14,598.78x = 20,142.14 × 8,223.14
  4. Step 4: Simplify right side
    14,598.78x = 165,631,637.12
  5. Step 5: Solve for x
    x = 165,631,637.12/14,598.78
  6. Step 6: Final answer
    x = 11,345.58

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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.