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Finding the Fourth Proportional to 7,178.65, 9,911.43 and 5,855.51

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Solution

The fourth proportional to 7,178.65, 9,911.43 and 5,855.51 is: 8,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.65 : 9,911.43 = 5,855.51 : x
  2. Step 2: Convert to fraction form
    7,178.65/9,911.43 = 5,855.51/x
  3. Step 3: Cross multiply
    7,178.65x = 9,911.43 × 5,855.51
  4. Step 4: Simplify right side
    7,178.65x = 58,036,502.26
  5. Step 5: Solve for x
    x = 58,036,502.26/7,178.65
  6. Step 6: Final answer
    x = 8,084.60

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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.