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Finding the Fourth Proportional to 9,687.66, 13,369.41 and 5,708.94

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Solution

The fourth proportional to 9,687.66, 13,369.41 and 5,708.94 is: 7,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.66 : 13,369.41 = 5,708.94 : x
  2. Step 2: Convert to fraction form
    9,687.66/13,369.41 = 5,708.94/x
  3. Step 3: Cross multiply
    9,687.66x = 13,369.41 × 5,708.94
  4. Step 4: Simplify right side
    9,687.66x = 76,325,159.53
  5. Step 5: Solve for x
    x = 76,325,159.53/9,687.66
  6. Step 6: Final answer
    x = 7,878.60

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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.