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Finding the Fourth Proportional to 35,134.40, 48,486.72 and 20,029.34

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Solution

The fourth proportional to 35,134.40, 48,486.72 and 20,029.34 is: 27,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,134.40 : 48,486.72 = 20,029.34 : x
  2. Step 2: Convert to fraction form
    35,134.40/48,486.72 = 20,029.34/x
  3. Step 3: Cross multiply
    35,134.40x = 48,486.72 × 20,029.34
  4. Step 4: Simplify right side
    35,134.40x = 971,157,000.36
  5. Step 5: Solve for x
    x = 971,157,000.36/35,134.40
  6. Step 6: Final answer
    x = 27,641.20

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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.