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Finding the Fourth Proportional to 14,191.70, 19,580.58 and 9,156.15

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Solution

The fourth proportional to 14,191.70, 19,580.58 and 9,156.15 is: 12,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.70 : 19,580.58 = 9,156.15 : x
  2. Step 2: Convert to fraction form
    14,191.70/19,580.58 = 9,156.15/x
  3. Step 3: Cross multiply
    14,191.70x = 19,580.58 × 9,156.15
  4. Step 4: Simplify right side
    14,191.70x = 179,282,727.57
  5. Step 5: Solve for x
    x = 179,282,727.57/14,191.70
  6. Step 6: Final answer
    x = 12,632.93

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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.