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Finding the Fourth Proportional to 35,408.64, 48,856.08 and 20,496

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Solution

The fourth proportional to 35,408.64, 48,856.08 and 20,496 is: 28,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.64 : 48,856.08 = 20,496 : x
  2. Step 2: Convert to fraction form
    35,408.64/48,856.08 = 20,496/x
  3. Step 3: Cross multiply
    35,408.64x = 48,856.08 × 20,496
  4. Step 4: Simplify right side
    35,408.64x = 1,001,354,215.68
  5. Step 5: Solve for x
    x = 1,001,354,215.68/35,408.64
  6. Step 6: Final answer
    x = 28,279.94

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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.