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Finding the Fourth Proportional to 2,350.72, 3,526.08 and 964.08

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Solution

The fourth proportional to 2,350.72, 3,526.08 and 964.08 is: 1,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.72 : 3,526.08 = 964.08 : x
  2. Step 2: Convert to fraction form
    2,350.72/3,526.08 = 964.08/x
  3. Step 3: Cross multiply
    2,350.72x = 3,526.08 × 964.08
  4. Step 4: Simplify right side
    2,350.72x = 3,399,423.21
  5. Step 5: Solve for x
    x = 3,399,423.21/2,350.72
  6. Step 6: Final answer
    x = 1,446.12

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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.