Home / 2,205.10-3,307.62-972.16

Finding the Fourth Proportional to 2,205.10, 3,307.62 and 972.16

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Solution

The fourth proportional to 2,205.10, 3,307.62 and 972.16 is: 1,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.10 : 3,307.62 = 972.16 : x
  2. Step 2: Convert to fraction form
    2,205.10/3,307.62 = 972.16/x
  3. Step 3: Cross multiply
    2,205.10x = 3,307.62 × 972.16
  4. Step 4: Simplify right side
    2,205.10x = 3,215,535.86
  5. Step 5: Solve for x
    x = 3,215,535.86/2,205.10
  6. Step 6: Final answer
    x = 1,458.23

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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.