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Finding the Fourth Proportional to 2,352.57, 3,525.80 and 964.30

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Solution

The fourth proportional to 2,352.57, 3,525.80 and 964.30 is: 1,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.57 : 3,525.80 = 964.30 : x
  2. Step 2: Convert to fraction form
    2,352.57/3,525.80 = 964.30/x
  3. Step 3: Cross multiply
    2,352.57x = 3,525.80 × 964.30
  4. Step 4: Simplify right side
    2,352.57x = 3,399,928.94
  5. Step 5: Solve for x
    x = 3,399,928.94/2,352.57
  6. Step 6: Final answer
    x = 1,445.20

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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.