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Finding the Fourth Proportional to 14,617, 20,172.90 and 9,029.80

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Solution

The fourth proportional to 14,617, 20,172.90 and 9,029.80 is: 12,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617 : 20,172.90 = 9,029.80 : x
  2. Step 2: Convert to fraction form
    14,617/20,172.90 = 9,029.80/x
  3. Step 3: Cross multiply
    14,617x = 20,172.90 × 9,029.80
  4. Step 4: Simplify right side
    14,617x = 182,157,252.42
  5. Step 5: Solve for x
    x = 182,157,252.42/14,617
  6. Step 6: Final answer
    x = 12,462.01

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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.