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Finding the Fourth Proportional to 35,419.78, 48,878.64 and 19,503.88

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Solution

The fourth proportional to 35,419.78, 48,878.64 and 19,503.88 is: 26,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419.78 : 48,878.64 = 19,503.88 : x
  2. Step 2: Convert to fraction form
    35,419.78/48,878.64 = 19,503.88/x
  3. Step 3: Cross multiply
    35,419.78x = 48,878.64 × 19,503.88
  4. Step 4: Simplify right side
    35,419.78x = 953,323,129.12
  5. Step 5: Solve for x
    x = 953,323,129.12/35,419.78
  6. Step 6: Final answer
    x = 26,914.99

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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.