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Finding the Fourth Proportional to 1,681.39, 2,519.50 and 901.50

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Solution

The fourth proportional to 1,681.39, 2,519.50 and 901.50 is: 1,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.39 : 2,519.50 = 901.50 : x
  2. Step 2: Convert to fraction form
    1,681.39/2,519.50 = 901.50/x
  3. Step 3: Cross multiply
    1,681.39x = 2,519.50 × 901.50
  4. Step 4: Simplify right side
    1,681.39x = 2,271,329.25
  5. Step 5: Solve for x
    x = 2,271,329.25/1,681.39
  6. Step 6: Final answer
    x = 1,350.86

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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.