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Finding the Fourth Proportional to 14,408, 19,883.04 and 7,784

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Solution

The fourth proportional to 14,408, 19,883.04 and 7,784 is: 10,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408 : 19,883.04 = 7,784 : x
  2. Step 2: Convert to fraction form
    14,408/19,883.04 = 7,784/x
  3. Step 3: Cross multiply
    14,408x = 19,883.04 × 7,784
  4. Step 4: Simplify right side
    14,408x = 154,769,583.36
  5. Step 5: Solve for x
    x = 154,769,583.36/14,408
  6. Step 6: Final answer
    x = 10,741.92

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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.