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Finding the Fourth Proportional to 35,419.96, 48,878.06 and 20,302.12

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Solution

The fourth proportional to 35,419.96, 48,878.06 and 20,302.12 is: 28,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419.96 : 48,878.06 = 20,302.12 : x
  2. Step 2: Convert to fraction form
    35,419.96/48,878.06 = 20,302.12/x
  3. Step 3: Cross multiply
    35,419.96x = 48,878.06 × 20,302.12
  4. Step 4: Simplify right side
    35,419.96x = 992,328,239.49
  5. Step 5: Solve for x
    x = 992,328,239.49/35,419.96
  6. Step 6: Final answer
    x = 28,016.07

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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.