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Finding the Fourth Proportional to 13,647.48, 18,834.63 and 7,678.80

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Solution

The fourth proportional to 13,647.48, 18,834.63 and 7,678.80 is: 10,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.48 : 18,834.63 = 7,678.80 : x
  2. Step 2: Convert to fraction form
    13,647.48/18,834.63 = 7,678.80/x
  3. Step 3: Cross multiply
    13,647.48x = 18,834.63 × 7,678.80
  4. Step 4: Simplify right side
    13,647.48x = 144,627,356.84
  5. Step 5: Solve for x
    x = 144,627,356.84/13,647.48
  6. Step 6: Final answer
    x = 10,597.37

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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.