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Finding the Fourth Proportional to 10,855.71, 14,971.64 and 8,343.90

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Solution

The fourth proportional to 10,855.71, 14,971.64 and 8,343.90 is: 11,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.71 : 14,971.64 = 8,343.90 : x
  2. Step 2: Convert to fraction form
    10,855.71/14,971.64 = 8,343.90/x
  3. Step 3: Cross multiply
    10,855.71x = 14,971.64 × 8,343.90
  4. Step 4: Simplify right side
    10,855.71x = 124,921,825.28
  5. Step 5: Solve for x
    x = 124,921,825.28/10,855.71
  6. Step 6: Final answer
    x = 11,507.48

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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.