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Finding the Fourth Proportional to 16,457.72, 22,712.22 and 9,005.72

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Solution

The fourth proportional to 16,457.72, 22,712.22 and 9,005.72 is: 12,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.72 : 22,712.22 = 9,005.72 : x
  2. Step 2: Convert to fraction form
    16,457.72/22,712.22 = 9,005.72/x
  3. Step 3: Cross multiply
    16,457.72x = 22,712.22 × 9,005.72
  4. Step 4: Simplify right side
    16,457.72x = 204,539,893.90
  5. Step 5: Solve for x
    x = 204,539,893.90/16,457.72
  6. Step 6: Final answer
    x = 12,428.20

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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.