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Finding the Fourth Proportional to 13,835.40, 20,709.90 and 10,897.80

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Solution

The fourth proportional to 13,835.40, 20,709.90 and 10,897.80 is: 16,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.40 : 20,709.90 = 10,897.80 : x
  2. Step 2: Convert to fraction form
    13,835.40/20,709.90 = 10,897.80/x
  3. Step 3: Cross multiply
    13,835.40x = 20,709.90 × 10,897.80
  4. Step 4: Simplify right side
    13,835.40x = 225,692,348.22
  5. Step 5: Solve for x
    x = 225,692,348.22/13,835.40
  6. Step 6: Final answer
    x = 16,312.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.