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Finding the Fourth Proportional to 7,602.92, 11,402.76 and 5,846.84

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Solution

The fourth proportional to 7,602.92, 11,402.76 and 5,846.84 is: 8,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.92 : 11,402.76 = 5,846.84 : x
  2. Step 2: Convert to fraction form
    7,602.92/11,402.76 = 5,846.84/x
  3. Step 3: Cross multiply
    7,602.92x = 11,402.76 × 5,846.84
  4. Step 4: Simplify right side
    7,602.92x = 66,670,113.28
  5. Step 5: Solve for x
    x = 66,670,113.28/7,602.92
  6. Step 6: Final answer
    x = 8,769.01

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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.