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Finding the Fourth Proportional to 6,503.68, 9,738.84 and 3,578.74

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Solution

The fourth proportional to 6,503.68, 9,738.84 and 3,578.74 is: 5,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.68 : 9,738.84 = 3,578.74 : x
  2. Step 2: Convert to fraction form
    6,503.68/9,738.84 = 3,578.74/x
  3. Step 3: Cross multiply
    6,503.68x = 9,738.84 × 3,578.74
  4. Step 4: Simplify right side
    6,503.68x = 34,852,776.26
  5. Step 5: Solve for x
    x = 34,852,776.26/6,503.68
  6. Step 6: Final answer
    x = 5,358.93

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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.