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Finding the Fourth Proportional to 7,897.92, 10,904.64 and 4,914.96

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Solution

The fourth proportional to 7,897.92, 10,904.64 and 4,914.96 is: 6,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.92 : 10,904.64 = 4,914.96 : x
  2. Step 2: Convert to fraction form
    7,897.92/10,904.64 = 4,914.96/x
  3. Step 3: Cross multiply
    7,897.92x = 10,904.64 × 4,914.96
  4. Step 4: Simplify right side
    7,897.92x = 53,595,869.41
  5. Step 5: Solve for x
    x = 53,595,869.41/7,897.92
  6. Step 6: Final answer
    x = 6,786.07

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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.