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Finding the Fourth Proportional to 10,290.84, 14,191.20 and 8,295

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Solution

The fourth proportional to 10,290.84, 14,191.20 and 8,295 is: 11,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.84 : 14,191.20 = 8,295 : x
  2. Step 2: Convert to fraction form
    10,290.84/14,191.20 = 8,295/x
  3. Step 3: Cross multiply
    10,290.84x = 14,191.20 × 8,295
  4. Step 4: Simplify right side
    10,290.84x = 117,716,004
  5. Step 5: Solve for x
    x = 117,716,004/10,290.84
  6. Step 6: Final answer
    x = 11,438.91

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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.