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Finding the Fourth Proportional to 9,146.84, 13,687.44 and 7,681.54

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Solution

The fourth proportional to 9,146.84, 13,687.44 and 7,681.54 is: 11,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.84 : 13,687.44 = 7,681.54 : x
  2. Step 2: Convert to fraction form
    9,146.84/13,687.44 = 7,681.54/x
  3. Step 3: Cross multiply
    9,146.84x = 13,687.44 × 7,681.54
  4. Step 4: Simplify right side
    9,146.84x = 105,140,617.86
  5. Step 5: Solve for x
    x = 105,140,617.86/9,146.84
  6. Step 6: Final answer
    x = 11,494.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.