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Finding the Fourth Proportional to 22,271.70, 30,713.74 and 13,317.76

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Solution

The fourth proportional to 22,271.70, 30,713.74 and 13,317.76 is: 18,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.70 : 30,713.74 = 13,317.76 : x
  2. Step 2: Convert to fraction form
    22,271.70/30,713.74 = 13,317.76/x
  3. Step 3: Cross multiply
    22,271.70x = 30,713.74 × 13,317.76
  4. Step 4: Simplify right side
    22,271.70x = 409,038,218.02
  5. Step 5: Solve for x
    x = 409,038,218.02/22,271.70
  6. Step 6: Final answer
    x = 18,365.83

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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.