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Finding the Fourth Proportional to 10,157.84, 13,986.65 and 8,891.81

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Solution

The fourth proportional to 10,157.84, 13,986.65 and 8,891.81 is: 12,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.84 : 13,986.65 = 8,891.81 : x
  2. Step 2: Convert to fraction form
    10,157.84/13,986.65 = 8,891.81/x
  3. Step 3: Cross multiply
    10,157.84x = 13,986.65 × 8,891.81
  4. Step 4: Simplify right side
    10,157.84x = 124,366,564.40
  5. Step 5: Solve for x
    x = 124,366,564.40/10,157.84
  6. Step 6: Final answer
    x = 12,243.41

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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.