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Finding the Fourth Proportional to 7,078.84, 9,768.80 and 3,935.04

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Solution

The fourth proportional to 7,078.84, 9,768.80 and 3,935.04 is: 5,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.84 : 9,768.80 = 3,935.04 : x
  2. Step 2: Convert to fraction form
    7,078.84/9,768.80 = 3,935.04/x
  3. Step 3: Cross multiply
    7,078.84x = 9,768.80 × 3,935.04
  4. Step 4: Simplify right side
    7,078.84x = 38,440,618.75
  5. Step 5: Solve for x
    x = 38,440,618.75/7,078.84
  6. Step 6: Final answer
    x = 5,430.36

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1.5x scale

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.