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Finding the Fourth Proportional to 7,323.92, 10,984.44 and 1,987

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Solution

The fourth proportional to 7,323.92, 10,984.44 and 1,987 is: 2,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.92 : 10,984.44 = 1,987 : x
  2. Step 2: Convert to fraction form
    7,323.92/10,984.44 = 1,987/x
  3. Step 3: Cross multiply
    7,323.92x = 10,984.44 × 1,987
  4. Step 4: Simplify right side
    7,323.92x = 21,826,082.28
  5. Step 5: Solve for x
    x = 21,826,082.28/7,323.92
  6. Step 6: Final answer
    x = 2,980.11

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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.