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Finding the Fourth Proportional to 15,991.68, 23,871.84 and 13,814.40

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Solution

The fourth proportional to 15,991.68, 23,871.84 and 13,814.40 is: 20,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.68 : 23,871.84 = 13,814.40 : x
  2. Step 2: Convert to fraction form
    15,991.68/23,871.84 = 13,814.40/x
  3. Step 3: Cross multiply
    15,991.68x = 23,871.84 × 13,814.40
  4. Step 4: Simplify right side
    15,991.68x = 329,775,146.50
  5. Step 5: Solve for x
    x = 329,775,146.50/15,991.68
  6. Step 6: Final answer
    x = 20,621.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.