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Finding the Fourth Proportional to 1,962.40, 2,611.72 and 1,962.40

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Solution

The fourth proportional to 1,962.40, 2,611.72 and 1,962.40 is: 2,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.40 : 2,611.72 = 1,962.40 : x
  2. Step 2: Convert to fraction form
    1,962.40/2,611.72 = 1,962.40/x
  3. Step 3: Cross multiply
    1,962.40x = 2,611.72 × 1,962.40
  4. Step 4: Simplify right side
    1,962.40x = 5,125,239.33
  5. Step 5: Solve for x
    x = 5,125,239.33/1,962.40
  6. Step 6: Final answer
    x = 2,611.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.