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Finding the Fourth Proportional to 7,890.09, 10,889.09 and 5,897.18

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Solution

The fourth proportional to 7,890.09, 10,889.09 and 5,897.18 is: 8,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.09 : 10,889.09 = 5,897.18 : x
  2. Step 2: Convert to fraction form
    7,890.09/10,889.09 = 5,897.18/x
  3. Step 3: Cross multiply
    7,890.09x = 10,889.09 × 5,897.18
  4. Step 4: Simplify right side
    7,890.09x = 64,214,839.83
  5. Step 5: Solve for x
    x = 64,214,839.83/7,890.09
  6. Step 6: Final answer
    x = 8,138.67

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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.