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Finding the Fourth Proportional to 1,979.76, 2,969.76 and 1,157.40

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Solution

The fourth proportional to 1,979.76, 2,969.76 and 1,157.40 is: 1,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.76 : 2,969.76 = 1,157.40 : x
  2. Step 2: Convert to fraction form
    1,979.76/2,969.76 = 1,157.40/x
  3. Step 3: Cross multiply
    1,979.76x = 2,969.76 × 1,157.40
  4. Step 4: Simplify right side
    1,979.76x = 3,437,200.22
  5. Step 5: Solve for x
    x = 3,437,200.22/1,979.76
  6. Step 6: Final answer
    x = 1,736.17

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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.