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Finding the Fourth Proportional to 10,139.71, 13,992.70 and 5,664.22

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Solution

The fourth proportional to 10,139.71, 13,992.70 and 5,664.22 is: 7,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.71 : 13,992.70 = 5,664.22 : x
  2. Step 2: Convert to fraction form
    10,139.71/13,992.70 = 5,664.22/x
  3. Step 3: Cross multiply
    10,139.71x = 13,992.70 × 5,664.22
  4. Step 4: Simplify right side
    10,139.71x = 79,257,672.99
  5. Step 5: Solve for x
    x = 79,257,672.99/10,139.71
  6. Step 6: Final answer
    x = 7,816.56

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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.