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Finding the Fourth Proportional to 2,864.56, 4,296.52 and 990.24

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Solution

The fourth proportional to 2,864.56, 4,296.52 and 990.24 is: 1,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.56 : 4,296.52 = 990.24 : x
  2. Step 2: Convert to fraction form
    2,864.56/4,296.52 = 990.24/x
  3. Step 3: Cross multiply
    2,864.56x = 4,296.52 × 990.24
  4. Step 4: Simplify right side
    2,864.56x = 4,254,585.96
  5. Step 5: Solve for x
    x = 4,254,585.96/2,864.56
  6. Step 6: Final answer
    x = 1,485.25

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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.