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Finding the Fourth Proportional to 35,294.80, 52,980.60 and 19,742.80

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Solution

The fourth proportional to 35,294.80, 52,980.60 and 19,742.80 is: 29,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,294.80 : 52,980.60 = 19,742.80 : x
  2. Step 2: Convert to fraction form
    35,294.80/52,980.60 = 19,742.80/x
  3. Step 3: Cross multiply
    35,294.80x = 52,980.60 × 19,742.80
  4. Step 4: Simplify right side
    35,294.80x = 1,045,985,389.68
  5. Step 5: Solve for x
    x = 1,045,985,389.68/35,294.80
  6. Step 6: Final answer
    x = 29,635.68

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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.