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Finding the Fourth Proportional to 10,039.80, 13,824 and 8,918.78

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Solution

The fourth proportional to 10,039.80, 13,824 and 8,918.78 is: 12,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.80 : 13,824 = 8,918.78 : x
  2. Step 2: Convert to fraction form
    10,039.80/13,824 = 8,918.78/x
  3. Step 3: Cross multiply
    10,039.80x = 13,824 × 8,918.78
  4. Step 4: Simplify right side
    10,039.80x = 123,293,214.72
  5. Step 5: Solve for x
    x = 123,293,214.72/10,039.80
  6. Step 6: Final answer
    x = 12,280.45

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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.