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Finding the Fourth Proportional to 7,071.88, 10,607.88 and 1,877.76

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Solution

The fourth proportional to 7,071.88, 10,607.88 and 1,877.76 is: 2,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.88 : 10,607.88 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    7,071.88/10,607.88 = 1,877.76/x
  3. Step 3: Cross multiply
    7,071.88x = 10,607.88 × 1,877.76
  4. Step 4: Simplify right side
    7,071.88x = 19,919,052.75
  5. Step 5: Solve for x
    x = 19,919,052.75/7,071.88
  6. Step 6: Final answer
    x = 2,816.66

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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.