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Finding the Fourth Proportional to 34,557.84, 51,840 and 20,794.32

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Solution

The fourth proportional to 34,557.84, 51,840 and 20,794.32 is: 31,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,557.84 : 51,840 = 20,794.32 : x
  2. Step 2: Convert to fraction form
    34,557.84/51,840 = 20,794.32/x
  3. Step 3: Cross multiply
    34,557.84x = 51,840 × 20,794.32
  4. Step 4: Simplify right side
    34,557.84x = 1,077,977,548.80
  5. Step 5: Solve for x
    x = 1,077,977,548.80/34,557.84
  6. Step 6: Final answer
    x = 31,193.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.