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Finding the Fourth Proportional to 6,602.68, 9,904.34 and 3,678.80

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Solution

The fourth proportional to 6,602.68, 9,904.34 and 3,678.80 is: 5,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.68 : 9,904.34 = 3,678.80 : x
  2. Step 2: Convert to fraction form
    6,602.68/9,904.34 = 3,678.80/x
  3. Step 3: Cross multiply
    6,602.68x = 9,904.34 × 3,678.80
  4. Step 4: Simplify right side
    6,602.68x = 36,436,085.99
  5. Step 5: Solve for x
    x = 36,436,085.99/6,602.68
  6. Step 6: Final answer
    x = 5,518.38

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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.