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Finding the Fourth Proportional to 1,972.58, 2,720.79 and 1,599.57

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Solution

The fourth proportional to 1,972.58, 2,720.79 and 1,599.57 is: 2,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.58 : 2,720.79 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    1,972.58/2,720.79 = 1,599.57/x
  3. Step 3: Cross multiply
    1,972.58x = 2,720.79 × 1,599.57
  4. Step 4: Simplify right side
    1,972.58x = 4,352,094.06
  5. Step 5: Solve for x
    x = 4,352,094.06/1,972.58
  6. Step 6: Final answer
    x = 2,206.30

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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.