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Finding the Fourth Proportional to 14,376.76, 19,839.81 and 8,089

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Solution

The fourth proportional to 14,376.76, 19,839.81 and 8,089 is: 11,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.76 : 19,839.81 = 8,089 : x
  2. Step 2: Convert to fraction form
    14,376.76/19,839.81 = 8,089/x
  3. Step 3: Cross multiply
    14,376.76x = 19,839.81 × 8,089
  4. Step 4: Simplify right side
    14,376.76x = 160,484,223.09
  5. Step 5: Solve for x
    x = 160,484,223.09/14,376.76
  6. Step 6: Final answer
    x = 11,162.75

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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.