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Finding the Fourth Proportional to 14,105.12, 19,464.18 and 7,817

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Solution

The fourth proportional to 14,105.12, 19,464.18 and 7,817 is: 10,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.12 : 19,464.18 = 7,817 : x
  2. Step 2: Convert to fraction form
    14,105.12/19,464.18 = 7,817/x
  3. Step 3: Cross multiply
    14,105.12x = 19,464.18 × 7,817
  4. Step 4: Simplify right side
    14,105.12x = 152,151,495.06
  5. Step 5: Solve for x
    x = 152,151,495.06/14,105.12
  6. Step 6: Final answer
    x = 10,786.97

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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.