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Finding the Fourth Proportional to 14,709.64, 20,299.75 and 9,047.71

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Solution

The fourth proportional to 14,709.64, 20,299.75 and 9,047.71 is: 12,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.64 : 20,299.75 = 9,047.71 : x
  2. Step 2: Convert to fraction form
    14,709.64/20,299.75 = 9,047.71/x
  3. Step 3: Cross multiply
    14,709.64x = 20,299.75 × 9,047.71
  4. Step 4: Simplify right side
    14,709.64x = 183,666,251.07
  5. Step 5: Solve for x
    x = 183,666,251.07/14,709.64
  6. Step 6: Final answer
    x = 12,486.11

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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.