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Finding the Fourth Proportional to 34,878, 48,132 and 18,962.64

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Solution

The fourth proportional to 34,878, 48,132 and 18,962.64 is: 26,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878 : 48,132 = 18,962.64 : x
  2. Step 2: Convert to fraction form
    34,878/48,132 = 18,962.64/x
  3. Step 3: Cross multiply
    34,878x = 48,132 × 18,962.64
  4. Step 4: Simplify right side
    34,878x = 912,709,788.48
  5. Step 5: Solve for x
    x = 912,709,788.48/34,878
  6. Step 6: Final answer
    x = 26,168.64

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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.