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Finding the Fourth Proportional to 10,862.42, 14,991.74 and 6,883.89

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Solution

The fourth proportional to 10,862.42, 14,991.74 and 6,883.89 is: 9,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.42 : 14,991.74 = 6,883.89 : x
  2. Step 2: Convert to fraction form
    10,862.42/14,991.74 = 6,883.89/x
  3. Step 3: Cross multiply
    10,862.42x = 14,991.74 × 6,883.89
  4. Step 4: Simplify right side
    10,862.42x = 103,201,454.65
  5. Step 5: Solve for x
    x = 103,201,454.65/10,862.42
  6. Step 6: Final answer
    x = 9,500.78

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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.