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Finding the Fourth Proportional to 2,152.64, 3,230.88 and 999.04

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Solution

The fourth proportional to 2,152.64, 3,230.88 and 999.04 is: 1,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.64 : 3,230.88 = 999.04 : x
  2. Step 2: Convert to fraction form
    2,152.64/3,230.88 = 999.04/x
  3. Step 3: Cross multiply
    2,152.64x = 3,230.88 × 999.04
  4. Step 4: Simplify right side
    2,152.64x = 3,227,778.36
  5. Step 5: Solve for x
    x = 3,227,778.36/2,152.64
  6. Step 6: Final answer
    x = 1,499.45

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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.