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Finding the Fourth Proportional to 3,465.80, 4,782.82 and 1,973.48

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Solution

The fourth proportional to 3,465.80, 4,782.82 and 1,973.48 is: 2,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.80 : 4,782.82 = 1,973.48 : x
  2. Step 2: Convert to fraction form
    3,465.80/4,782.82 = 1,973.48/x
  3. Step 3: Cross multiply
    3,465.80x = 4,782.82 × 1,973.48
  4. Step 4: Simplify right side
    3,465.80x = 9,438,799.61
  5. Step 5: Solve for x
    x = 9,438,799.61/3,465.80
  6. Step 6: Final answer
    x = 2,723.41

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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.