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Finding the Fourth Proportional to 11,878.65, 16,391.43 and 7,686.90

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Solution

The fourth proportional to 11,878.65, 16,391.43 and 7,686.90 is: 10,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.65 : 16,391.43 = 7,686.90 : x
  2. Step 2: Convert to fraction form
    11,878.65/16,391.43 = 7,686.90/x
  3. Step 3: Cross multiply
    11,878.65x = 16,391.43 × 7,686.90
  4. Step 4: Simplify right side
    11,878.65x = 125,999,283.27
  5. Step 5: Solve for x
    x = 125,999,283.27/11,878.65
  6. Step 6: Final answer
    x = 10,607.21

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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.