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Finding the Fourth Proportional to 7,070.96, 9,758.08 and 3,927.36

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Solution

The fourth proportional to 7,070.96, 9,758.08 and 3,927.36 is: 5,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.96 : 9,758.08 = 3,927.36 : x
  2. Step 2: Convert to fraction form
    7,070.96/9,758.08 = 3,927.36/x
  3. Step 3: Cross multiply
    7,070.96x = 9,758.08 × 3,927.36
  4. Step 4: Simplify right side
    7,070.96x = 38,323,493.07
  5. Step 5: Solve for x
    x = 38,323,493.07/7,070.96
  6. Step 6: Final answer
    x = 5,419.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.