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Finding the Fourth Proportional to 7,898.56, 10,900.78 and 5,905.65

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Solution

The fourth proportional to 7,898.56, 10,900.78 and 5,905.65 is: 8,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.56 : 10,900.78 = 5,905.65 : x
  2. Step 2: Convert to fraction form
    7,898.56/10,900.78 = 5,905.65/x
  3. Step 3: Cross multiply
    7,898.56x = 10,900.78 × 5,905.65
  4. Step 4: Simplify right side
    7,898.56x = 64,376,191.41
  5. Step 5: Solve for x
    x = 64,376,191.41/7,898.56
  6. Step 6: Final answer
    x = 8,150.37

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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.