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Finding the Fourth Proportional to 35,720.80, 49,294.72 and 19,805.44

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Solution

The fourth proportional to 35,720.80, 49,294.72 and 19,805.44 is: 27,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720.80 : 49,294.72 = 19,805.44 : x
  2. Step 2: Convert to fraction form
    35,720.80/49,294.72 = 19,805.44/x
  3. Step 3: Cross multiply
    35,720.80x = 49,294.72 × 19,805.44
  4. Step 4: Simplify right side
    35,720.80x = 976,303,619.28
  5. Step 5: Solve for x
    x = 976,303,619.28/35,720.80
  6. Step 6: Final answer
    x = 27,331.52

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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.