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Finding the Fourth Proportional to 26,657.50, 39,942.48 and 9,117.76

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Solution

The fourth proportional to 26,657.50, 39,942.48 and 9,117.76 is: 13,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,657.50 : 39,942.48 = 9,117.76 : x
  2. Step 2: Convert to fraction form
    26,657.50/39,942.48 = 9,117.76/x
  3. Step 3: Cross multiply
    26,657.50x = 39,942.48 × 9,117.76
  4. Step 4: Simplify right side
    26,657.50x = 364,185,946.44
  5. Step 5: Solve for x
    x = 364,185,946.44/26,657.50
  6. Step 6: Final answer
    x = 13,661.67

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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.