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Finding the Fourth Proportional to 13,351.50, 18,426.69 and 7,762.50

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Solution

The fourth proportional to 13,351.50, 18,426.69 and 7,762.50 is: 10,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351.50 : 18,426.69 = 7,762.50 : x
  2. Step 2: Convert to fraction form
    13,351.50/18,426.69 = 7,762.50/x
  3. Step 3: Cross multiply
    13,351.50x = 18,426.69 × 7,762.50
  4. Step 4: Simplify right side
    13,351.50x = 143,037,181.13
  5. Step 5: Solve for x
    x = 143,037,181.13/13,351.50
  6. Step 6: Final answer
    x = 10,713.19

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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.