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Finding the Fourth Proportional to 11,685.74, 16,085.40 and 10,191.02

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Solution

The fourth proportional to 11,685.74, 16,085.40 and 10,191.02 is: 14,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.74 : 16,085.40 = 10,191.02 : x
  2. Step 2: Convert to fraction form
    11,685.74/16,085.40 = 10,191.02/x
  3. Step 3: Cross multiply
    11,685.74x = 16,085.40 × 10,191.02
  4. Step 4: Simplify right side
    11,685.74x = 163,926,633.11
  5. Step 5: Solve for x
    x = 163,926,633.11/11,685.74
  6. Step 6: Final answer
    x = 14,027.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.