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Finding the Fourth Proportional to 3,092.80, 4,639.62 and 901.51

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Solution

The fourth proportional to 3,092.80, 4,639.62 and 901.51 is: 1,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.80 : 4,639.62 = 901.51 : x
  2. Step 2: Convert to fraction form
    3,092.80/4,639.62 = 901.51/x
  3. Step 3: Cross multiply
    3,092.80x = 4,639.62 × 901.51
  4. Step 4: Simplify right side
    3,092.80x = 4,182,679.17
  5. Step 5: Solve for x
    x = 4,182,679.17/3,092.80
  6. Step 6: Final answer
    x = 1,352.39

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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.