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Finding the Fourth Proportional to 22,893.45, 31,588.29 and 12,820.29

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Solution

The fourth proportional to 22,893.45, 31,588.29 and 12,820.29 is: 17,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.45 : 31,588.29 = 12,820.29 : x
  2. Step 2: Convert to fraction form
    22,893.45/31,588.29 = 12,820.29/x
  3. Step 3: Cross multiply
    22,893.45x = 31,588.29 × 12,820.29
  4. Step 4: Simplify right side
    22,893.45x = 404,971,038.40
  5. Step 5: Solve for x
    x = 404,971,038.40/22,893.45
  6. Step 6: Final answer
    x = 17,689.38

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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.